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Finding the Fourth Proportional to 115,984.86, 160,053.75 and 65,684.22

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Solution

The fourth proportional to 115,984.86, 160,053.75 and 65,684.22 is: 90,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,984.86 : 160,053.75 = 65,684.22 : x
  2. Step 2: Convert to fraction form
    115,984.86/160,053.75 = 65,684.22/x
  3. Step 3: Cross multiply
    115,984.86x = 160,053.75 × 65,684.22
  4. Step 4: Simplify right side
    115,984.86x = 10,513,005,726.83
  5. Step 5: Solve for x
    x = 10,513,005,726.83/115,984.86
  6. Step 6: Final answer
    x = 90,641.19

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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.