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Finding the Fourth Proportional to 157,671.81, 217,587.87 and 86,053.50

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Solution

The fourth proportional to 157,671.81, 217,587.87 and 86,053.50 is: 118,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,671.81 : 217,587.87 = 86,053.50 : x
  2. Step 2: Convert to fraction form
    157,671.81/217,587.87 = 86,053.50/x
  3. Step 3: Cross multiply
    157,671.81x = 217,587.87 × 86,053.50
  4. Step 4: Simplify right side
    157,671.81x = 18,724,197,771.05
  5. Step 5: Solve for x
    x = 18,724,197,771.05/157,671.81
  6. Step 6: Final answer
    x = 118,754.25

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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.