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Finding the Fourth Proportional to 114,543.51, 171,898.52 and 86,498.25

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Solution

The fourth proportional to 114,543.51, 171,898.52 and 86,498.25 is: 129,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,543.51 : 171,898.52 = 86,498.25 : x
  2. Step 2: Convert to fraction form
    114,543.51/171,898.52 = 86,498.25/x
  3. Step 3: Cross multiply
    114,543.51x = 171,898.52 × 86,498.25
  4. Step 4: Simplify right side
    114,543.51x = 14,868,920,725.10
  5. Step 5: Solve for x
    x = 14,868,920,725.10/114,543.51
  6. Step 6: Final answer
    x = 129,810.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.