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Finding the Fourth Proportional to 97,516.40, 146,159.40 and 41,356.40

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Solution

The fourth proportional to 97,516.40, 146,159.40 and 41,356.40 is: 61,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,516.40 : 146,159.40 = 41,356.40 : x
  2. Step 2: Convert to fraction form
    97,516.40/146,159.40 = 41,356.40/x
  3. Step 3: Cross multiply
    97,516.40x = 146,159.40 × 41,356.40
  4. Step 4: Simplify right side
    97,516.40x = 6,044,626,610.16
  5. Step 5: Solve for x
    x = 6,044,626,610.16/97,516.40
  6. Step 6: Final answer
    x = 61,985.74

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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.