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Finding the Fourth Proportional to 178,076.34, 245,737.68 and 97,502.40

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Solution

The fourth proportional to 178,076.34, 245,737.68 and 97,502.40 is: 134,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,076.34 : 245,737.68 = 97,502.40 : x
  2. Step 2: Convert to fraction form
    178,076.34/245,737.68 = 97,502.40/x
  3. Step 3: Cross multiply
    178,076.34x = 245,737.68 × 97,502.40
  4. Step 4: Simplify right side
    178,076.34x = 23,960,013,570.43
  5. Step 5: Solve for x
    x = 23,960,013,570.43/178,076.34
  6. Step 6: Final answer
    x = 134,549.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.