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Finding the Fourth Proportional to 242,238.80, 363,415.80 and 101,925.20

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Solution

The fourth proportional to 242,238.80, 363,415.80 and 101,925.20 is: 152,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,238.80 : 363,415.80 = 101,925.20 : x
  2. Step 2: Convert to fraction form
    242,238.80/363,415.80 = 101,925.20/x
  3. Step 3: Cross multiply
    242,238.80x = 363,415.80 × 101,925.20
  4. Step 4: Simplify right side
    242,238.80x = 37,041,228,098.16
  5. Step 5: Solve for x
    x = 37,041,228,098.16/242,238.80
  6. Step 6: Final answer
    x = 152,912.04

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Why These Related Problems?

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