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Finding the Fourth Proportional to 116,393.40, 160,594.56 and 71,054.87

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Solution

The fourth proportional to 116,393.40, 160,594.56 and 71,054.87 is: 98,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,393.40 : 160,594.56 = 71,054.87 : x
  2. Step 2: Convert to fraction form
    116,393.40/160,594.56 = 71,054.87/x
  3. Step 3: Cross multiply
    116,393.40x = 160,594.56 × 71,054.87
  4. Step 4: Simplify right side
    116,393.40x = 11,411,024,780.53
  5. Step 5: Solve for x
    x = 11,411,024,780.53/116,393.40
  6. Step 6: Final answer
    x = 98,038.42

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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.