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Finding the Fourth Proportional to 119,223.70, 164,543.01 and 71,503.30

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Solution

The fourth proportional to 119,223.70, 164,543.01 and 71,503.30 is: 98,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,223.70 : 164,543.01 = 71,503.30 : x
  2. Step 2: Convert to fraction form
    119,223.70/164,543.01 = 71,503.30/x
  3. Step 3: Cross multiply
    119,223.70x = 164,543.01 × 71,503.30
  4. Step 4: Simplify right side
    119,223.70x = 11,765,368,206.93
  5. Step 5: Solve for x
    x = 11,765,368,206.93/119,223.70
  6. Step 6: Final answer
    x = 98,683.13

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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.