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Finding the Fourth Proportional to 242,562.12, 363,882.06 and 102,341.40

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Solution

The fourth proportional to 242,562.12, 363,882.06 and 102,341.40 is: 153,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562.12 : 363,882.06 = 102,341.40 : x
  2. Step 2: Convert to fraction form
    242,562.12/363,882.06 = 102,341.40/x
  3. Step 3: Cross multiply
    242,562.12x = 363,882.06 × 102,341.40
  4. Step 4: Simplify right side
    242,562.12x = 37,240,199,455.28
  5. Step 5: Solve for x
    x = 37,240,199,455.28/242,562.12
  6. Step 6: Final answer
    x = 153,528.50

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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.