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Finding the Fourth Proportional to 153,190.71, 211,403.16 and 86,122.71

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Solution

The fourth proportional to 153,190.71, 211,403.16 and 86,122.71 is: 118,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190.71 : 211,403.16 = 86,122.71 : x
  2. Step 2: Convert to fraction form
    153,190.71/211,403.16 = 86,122.71/x
  3. Step 3: Cross multiply
    153,190.71x = 211,403.16 × 86,122.71
  4. Step 4: Simplify right side
    153,190.71x = 18,206,613,041.76
  5. Step 5: Solve for x
    x = 18,206,613,041.76/153,190.71
  6. Step 6: Final answer
    x = 118,849.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.