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Finding the Fourth Proportional to 119,613.48, 165,060.64 and 65,897.04

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Solution

The fourth proportional to 119,613.48, 165,060.64 and 65,897.04 is: 90,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,613.48 : 165,060.64 = 65,897.04 : x
  2. Step 2: Convert to fraction form
    119,613.48/165,060.64 = 65,897.04/x
  3. Step 3: Cross multiply
    119,613.48x = 165,060.64 × 65,897.04
  4. Step 4: Simplify right side
    119,613.48x = 10,877,007,596.51
  5. Step 5: Solve for x
    x = 10,877,007,596.51/119,613.48
  6. Step 6: Final answer
    x = 90,934.63

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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.