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Finding the Fourth Proportional to 261,874.96, 361,397.88 and 148,708.24

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Solution

The fourth proportional to 261,874.96, 361,397.88 and 148,708.24 is: 205,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,874.96 : 361,397.88 = 148,708.24 : x
  2. Step 2: Convert to fraction form
    261,874.96/361,397.88 = 148,708.24/x
  3. Step 3: Cross multiply
    261,874.96x = 361,397.88 × 148,708.24
  4. Step 4: Simplify right side
    261,874.96x = 53,742,842,674.53
  5. Step 5: Solve for x
    x = 53,742,842,674.53/261,874.96
  6. Step 6: Final answer
    x = 205,223.30

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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.