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Finding the Fourth Proportional to 282,343.59, 423,509.92 and 113,860.15

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Solution

The fourth proportional to 282,343.59, 423,509.92 and 113,860.15 is: 170,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,343.59 : 423,509.92 = 113,860.15 : x
  2. Step 2: Convert to fraction form
    282,343.59/423,509.92 = 113,860.15/x
  3. Step 3: Cross multiply
    282,343.59x = 423,509.92 × 113,860.15
  4. Step 4: Simplify right side
    282,343.59x = 48,220,901,674.26
  5. Step 5: Solve for x
    x = 48,220,901,674.26/282,343.59
  6. Step 6: Final answer
    x = 170,788.02

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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.