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Finding the Fourth Proportional to 157,653.87, 217,566.96 and 86,038.50

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Solution

The fourth proportional to 157,653.87, 217,566.96 and 86,038.50 is: 118,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653.87 : 217,566.96 = 86,038.50 : x
  2. Step 2: Convert to fraction form
    157,653.87/217,566.96 = 86,038.50/x
  3. Step 3: Cross multiply
    157,653.87x = 217,566.96 × 86,038.50
  4. Step 4: Simplify right side
    157,653.87x = 18,719,133,800.13
  5. Step 5: Solve for x
    x = 18,719,133,800.13/157,653.87
  6. Step 6: Final answer
    x = 118,735.64

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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.