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Finding the Fourth Proportional to 178,084.81, 245,746.20 and 97,513.30

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Solution

The fourth proportional to 178,084.81, 245,746.20 and 97,513.30 is: 134,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,084.81 : 245,746.20 = 97,513.30 : x
  2. Step 2: Convert to fraction form
    178,084.81/245,746.20 = 97,513.30/x
  3. Step 3: Cross multiply
    178,084.81x = 245,746.20 × 97,513.30
  4. Step 4: Simplify right side
    178,084.81x = 23,963,522,924.46
  5. Step 5: Solve for x
    x = 23,963,522,924.46/178,084.81
  6. Step 6: Final answer
    x = 134,562.42

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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.