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Finding the Fourth Proportional to 119,064.70, 164,309.10 and 65,349.85

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Solution

The fourth proportional to 119,064.70, 164,309.10 and 65,349.85 is: 90,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,064.70 : 164,309.10 = 65,349.85 : x
  2. Step 2: Convert to fraction form
    119,064.70/164,309.10 = 65,349.85/x
  3. Step 3: Cross multiply
    119,064.70x = 164,309.10 × 65,349.85
  4. Step 4: Simplify right side
    119,064.70x = 10,737,575,038.64
  5. Step 5: Solve for x
    x = 10,737,575,038.64/119,064.70
  6. Step 6: Final answer
    x = 90,182.69

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1.5x scale

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.