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Finding the Fourth Proportional to 282,195.10, 423,288 and 113,711.32

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Solution

The fourth proportional to 282,195.10, 423,288 and 113,711.32 is: 170,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,195.10 : 423,288 = 113,711.32 : x
  2. Step 2: Convert to fraction form
    282,195.10/423,288 = 113,711.32/x
  3. Step 3: Cross multiply
    282,195.10x = 423,288 × 113,711.32
  4. Step 4: Simplify right side
    282,195.10x = 48,132,637,220.16
  5. Step 5: Solve for x
    x = 48,132,637,220.16/282,195.10
  6. Step 6: Final answer
    x = 170,565.11

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