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Finding the Fourth Proportional to 115,983.61, 160,026.94 and 70,681.96

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Solution

The fourth proportional to 115,983.61, 160,026.94 and 70,681.96 is: 97,522.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,983.61 : 160,026.94 = 70,681.96 : x
  2. Step 2: Convert to fraction form
    115,983.61/160,026.94 = 70,681.96/x
  3. Step 3: Cross multiply
    115,983.61x = 160,026.94 × 70,681.96
  4. Step 4: Simplify right side
    115,983.61x = 11,311,017,212.73
  5. Step 5: Solve for x
    x = 11,311,017,212.73/115,983.61
  6. Step 6: Final answer
    x = 97,522.55

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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.