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Finding the Fourth Proportional to 242,107.30, 362,723.55 and 207,115.30

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Solution

The fourth proportional to 242,107.30, 362,723.55 and 207,115.30 is: 310,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,107.30 : 362,723.55 = 207,115.30 : x
  2. Step 2: Convert to fraction form
    242,107.30/362,723.55 = 207,115.30/x
  3. Step 3: Cross multiply
    242,107.30x = 362,723.55 × 207,115.30
  4. Step 4: Simplify right side
    242,107.30x = 75,125,596,875.32
  5. Step 5: Solve for x
    x = 75,125,596,875.32/242,107.30
  6. Step 6: Final answer
    x = 310,298.77

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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.