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Finding the Fourth Proportional to 178,140.86, 245,825.65 and 97,568.74

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Solution

The fourth proportional to 178,140.86, 245,825.65 and 97,568.74 is: 134,640.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,140.86 : 245,825.65 = 97,568.74 : x
  2. Step 2: Convert to fraction form
    178,140.86/245,825.65 = 97,568.74/x
  3. Step 3: Cross multiply
    178,140.86x = 245,825.65 × 97,568.74
  4. Step 4: Simplify right side
    178,140.86x = 23,984,898,930.18
  5. Step 5: Solve for x
    x = 23,984,898,930.18/178,140.86
  6. Step 6: Final answer
    x = 134,640.08

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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.