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Finding the Fourth Proportional to 177,683.85, 245,203.72 and 97,111.38

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Solution

The fourth proportional to 177,683.85, 245,203.72 and 97,111.38 is: 134,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,683.85 : 245,203.72 = 97,111.38 : x
  2. Step 2: Convert to fraction form
    177,683.85/245,203.72 = 97,111.38/x
  3. Step 3: Cross multiply
    177,683.85x = 245,203.72 × 97,111.38
  4. Step 4: Simplify right side
    177,683.85x = 23,812,070,784.41
  5. Step 5: Solve for x
    x = 23,812,070,784.41/177,683.85
  6. Step 6: Final answer
    x = 134,013.70

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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.