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Finding the Fourth Proportional to 114,143.88, 157,531.86 and 66,399.24

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Solution

The fourth proportional to 114,143.88, 157,531.86 and 66,399.24 is: 91,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,143.88 : 157,531.86 = 66,399.24 : x
  2. Step 2: Convert to fraction form
    114,143.88/157,531.86 = 66,399.24/x
  3. Step 3: Cross multiply
    114,143.88x = 157,531.86 × 66,399.24
  4. Step 4: Simplify right side
    114,143.88x = 10,459,995,779.79
  5. Step 5: Solve for x
    x = 10,459,995,779.79/114,143.88
  6. Step 6: Final answer
    x = 91,638.69

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1.5x scale

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.