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Finding the Fourth Proportional to 178,225.75, 245,951.47 and 97,656.33

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Solution

The fourth proportional to 178,225.75, 245,951.47 and 97,656.33 is: 134,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,225.75 : 245,951.47 = 97,656.33 : x
  2. Step 2: Convert to fraction form
    178,225.75/245,951.47 = 97,656.33/x
  3. Step 3: Cross multiply
    178,225.75x = 245,951.47 × 97,656.33
  4. Step 4: Simplify right side
    178,225.75x = 24,018,718,962.69
  5. Step 5: Solve for x
    x = 24,018,718,962.69/178,225.75
  6. Step 6: Final answer
    x = 134,765.70

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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.