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Finding the Fourth Proportional to 359,882.12, 540,010.02 and 146,806.40

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Solution

The fourth proportional to 359,882.12, 540,010.02 and 146,806.40 is: 220,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,882.12 : 540,010.02 = 146,806.40 : x
  2. Step 2: Convert to fraction form
    359,882.12/540,010.02 = 146,806.40/x
  3. Step 3: Cross multiply
    359,882.12x = 540,010.02 × 146,806.40
  4. Step 4: Simplify right side
    359,882.12x = 79,276,927,000.13
  5. Step 5: Solve for x
    x = 79,276,927,000.13/359,882.12
  6. Step 6: Final answer
    x = 220,285.82

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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.