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Finding the Fourth Proportional to 261,185.68, 360,458.10 and 146,462.50

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Solution

The fourth proportional to 261,185.68, 360,458.10 and 146,462.50 is: 202,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,185.68 : 360,458.10 = 146,462.50 : x
  2. Step 2: Convert to fraction form
    261,185.68/360,458.10 = 146,462.50/x
  3. Step 3: Cross multiply
    261,185.68x = 360,458.10 × 146,462.50
  4. Step 4: Simplify right side
    261,185.68x = 52,793,594,471.25
  5. Step 5: Solve for x
    x = 52,793,594,471.25/261,185.68
  6. Step 6: Final answer
    x = 202,130.51

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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.