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Finding the Fourth Proportional to 261,672.12, 361,106.51 and 146,934.81

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Solution

The fourth proportional to 261,672.12, 361,106.51 and 146,934.81 is: 202,769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,672.12 : 361,106.51 = 146,934.81 : x
  2. Step 2: Convert to fraction form
    261,672.12/361,106.51 = 146,934.81/x
  3. Step 3: Cross multiply
    261,672.12x = 361,106.51 × 146,934.81
  4. Step 4: Simplify right side
    261,672.12x = 53,059,115,701.94
  5. Step 5: Solve for x
    x = 53,059,115,701.94/261,672.12
  6. Step 6: Final answer
    x = 202,769.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.