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Finding the Fourth Proportional to 155,403.84, 214,487.91 and 101,023.38

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Solution

The fourth proportional to 155,403.84, 214,487.91 and 101,023.38 is: 139,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,403.84 : 214,487.91 = 101,023.38 : x
  2. Step 2: Convert to fraction form
    155,403.84/214,487.91 = 101,023.38/x
  3. Step 3: Cross multiply
    155,403.84x = 214,487.91 × 101,023.38
  4. Step 4: Simplify right side
    155,403.84x = 21,668,293,637.34
  5. Step 5: Solve for x
    x = 21,668,293,637.34/155,403.84
  6. Step 6: Final answer
    x = 139,432.16

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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.