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Finding the Fourth Proportional to 97,323.40, 146,042.70 and 64,139.40

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Solution

The fourth proportional to 97,323.40, 146,042.70 and 64,139.40 is: 96,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,323.40 : 146,042.70 = 64,139.40 : x
  2. Step 2: Convert to fraction form
    97,323.40/146,042.70 = 64,139.40/x
  3. Step 3: Cross multiply
    97,323.40x = 146,042.70 × 64,139.40
  4. Step 4: Simplify right side
    97,323.40x = 9,367,091,152.38
  5. Step 5: Solve for x
    x = 9,367,091,152.38/97,323.40
  6. Step 6: Final answer
    x = 96,247.06

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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.