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Finding the Fourth Proportional to 158,430.38, 218,633.93 and 86,813.12

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Solution

The fourth proportional to 158,430.38, 218,633.93 and 86,813.12 is: 119,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,430.38 : 218,633.93 = 86,813.12 : x
  2. Step 2: Convert to fraction form
    158,430.38/218,633.93 = 86,813.12/x
  3. Step 3: Cross multiply
    158,430.38x = 218,633.93 × 86,813.12
  4. Step 4: Simplify right side
    158,430.38x = 18,980,292,073.93
  5. Step 5: Solve for x
    x = 18,980,292,073.93/158,430.38
  6. Step 6: Final answer
    x = 119,802.10

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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.