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Finding the Fourth Proportional to 155,248.23, 232,823.14 and 66,477.90

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Solution

The fourth proportional to 155,248.23, 232,823.14 and 66,477.90 is: 99,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,248.23 : 232,823.14 = 66,477.90 : x
  2. Step 2: Convert to fraction form
    155,248.23/232,823.14 = 66,477.90/x
  3. Step 3: Cross multiply
    155,248.23x = 232,823.14 × 66,477.90
  4. Step 4: Simplify right side
    155,248.23x = 15,477,593,418.61
  5. Step 5: Solve for x
    x = 15,477,593,418.61/155,248.23
  6. Step 6: Final answer
    x = 99,695.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.