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Finding the Fourth Proportional to 155,808.90, 233,713.35 and 96,711.30

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Solution

The fourth proportional to 155,808.90, 233,713.35 and 96,711.30 is: 145,066.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,808.90 : 233,713.35 = 96,711.30 : x
  2. Step 2: Convert to fraction form
    155,808.90/233,713.35 = 96,711.30/x
  3. Step 3: Cross multiply
    155,808.90x = 233,713.35 × 96,711.30
  4. Step 4: Simplify right side
    155,808.90x = 22,602,721,905.86
  5. Step 5: Solve for x
    x = 22,602,721,905.86/155,808.90
  6. Step 6: Final answer
    x = 145,066.95

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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.