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Finding the Fourth Proportional to 157,952.34, 217,973.70 and 86,332.32

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Solution

The fourth proportional to 157,952.34, 217,973.70 and 86,332.32 is: 119,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,952.34 : 217,973.70 = 86,332.32 : x
  2. Step 2: Convert to fraction form
    157,952.34/217,973.70 = 86,332.32/x
  3. Step 3: Cross multiply
    157,952.34x = 217,973.70 × 86,332.32
  4. Step 4: Simplify right side
    157,952.34x = 18,818,175,219.98
  5. Step 5: Solve for x
    x = 18,818,175,219.98/157,952.34
  6. Step 6: Final answer
    x = 119,138.31

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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.