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Finding the Fourth Proportional to 242,607.56, 363,117.63 and 178,548.50

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Solution

The fourth proportional to 242,607.56, 363,117.63 and 178,548.50 is: 267,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,607.56 : 363,117.63 = 178,548.50 : x
  2. Step 2: Convert to fraction form
    242,607.56/363,117.63 = 178,548.50/x
  3. Step 3: Cross multiply
    242,607.56x = 363,117.63 × 178,548.50
  4. Step 4: Simplify right side
    242,607.56x = 64,834,109,737.41
  5. Step 5: Solve for x
    x = 64,834,109,737.41/242,607.56
  6. Step 6: Final answer
    x = 267,238.63

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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.