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Finding the Fourth Proportional to 242,113.32, 362,712.06 and 137,007.72

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Solution

The fourth proportional to 242,113.32, 362,712.06 and 137,007.72 is: 205,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,113.32 : 362,712.06 = 137,007.72 : x
  2. Step 2: Convert to fraction form
    242,113.32/362,712.06 = 137,007.72/x
  3. Step 3: Cross multiply
    242,113.32x = 362,712.06 × 137,007.72
  4. Step 4: Simplify right side
    242,113.32x = 49,694,352,357.10
  5. Step 5: Solve for x
    x = 49,694,352,357.10/242,113.32
  6. Step 6: Final answer
    x = 205,252.45

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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.