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Finding the Fourth Proportional to 105,700.92, 145,782.56 and 92,926.96

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Solution

The fourth proportional to 105,700.92, 145,782.56 and 92,926.96 is: 128,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,700.92 : 145,782.56 = 92,926.96 : x
  2. Step 2: Convert to fraction form
    105,700.92/145,782.56 = 92,926.96/x
  3. Step 3: Cross multiply
    105,700.92x = 145,782.56 × 92,926.96
  4. Step 4: Simplify right side
    105,700.92x = 13,547,130,121.82
  5. Step 5: Solve for x
    x = 13,547,130,121.82/105,700.92
  6. Step 6: Final answer
    x = 128,164.73

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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.