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Finding the Fourth Proportional to 162,153.12, 242,165.06 and 138,205.47

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Solution

The fourth proportional to 162,153.12, 242,165.06 and 138,205.47 is: 206,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,153.12 : 242,165.06 = 138,205.47 : x
  2. Step 2: Convert to fraction form
    162,153.12/242,165.06 = 138,205.47/x
  3. Step 3: Cross multiply
    162,153.12x = 242,165.06 × 138,205.47
  4. Step 4: Simplify right side
    162,153.12x = 33,468,535,674.98
  5. Step 5: Solve for x
    x = 33,468,535,674.98/162,153.12
  6. Step 6: Final answer
    x = 206,400.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.