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Finding the Fourth Proportional to 178,073.34, 245,741.16 and 97,500.85

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Solution

The fourth proportional to 178,073.34, 245,741.16 and 97,500.85 is: 134,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,073.34 : 245,741.16 = 97,500.85 : x
  2. Step 2: Convert to fraction form
    178,073.34/245,741.16 = 97,500.85/x
  3. Step 3: Cross multiply
    178,073.34x = 245,741.16 × 97,500.85
  4. Step 4: Simplify right side
    178,073.34x = 23,959,971,182.82
  5. Step 5: Solve for x
    x = 23,959,971,182.82/178,073.34
  6. Step 6: Final answer
    x = 134,551.14

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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.