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Finding the Fourth Proportional to 261,854.96, 361,370.28 and 148,688.24

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Solution

The fourth proportional to 261,854.96, 361,370.28 and 148,688.24 is: 205,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,854.96 : 361,370.28 = 148,688.24 : x
  2. Step 2: Convert to fraction form
    261,854.96/361,370.28 = 148,688.24/x
  3. Step 3: Cross multiply
    261,854.96x = 361,370.28 × 148,688.24
  4. Step 4: Simplify right side
    261,854.96x = 53,731,510,921.51
  5. Step 5: Solve for x
    x = 53,731,510,921.51/261,854.96
  6. Step 6: Final answer
    x = 205,195.70

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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.