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Finding the Fourth Proportional to 102,801.30, 153,971.55 and 61,329.30

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Solution

The fourth proportional to 102,801.30, 153,971.55 and 61,329.30 is: 91,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,801.30 : 153,971.55 = 61,329.30 : x
  2. Step 2: Convert to fraction form
    102,801.30/153,971.55 = 61,329.30/x
  3. Step 3: Cross multiply
    102,801.30x = 153,971.55 × 61,329.30
  4. Step 4: Simplify right side
    102,801.30x = 9,442,967,381.42
  5. Step 5: Solve for x
    x = 9,442,967,381.42/102,801.30
  6. Step 6: Final answer
    x = 91,856.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.