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Finding the Fourth Proportional to 105,307.68, 157,962.24 and 42,133.12

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Solution

The fourth proportional to 105,307.68, 157,962.24 and 42,133.12 is: 63,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,307.68 : 157,962.24 = 42,133.12 : x
  2. Step 2: Convert to fraction form
    105,307.68/157,962.24 = 42,133.12/x
  3. Step 3: Cross multiply
    105,307.68x = 157,962.24 × 42,133.12
  4. Step 4: Simplify right side
    105,307.68x = 6,655,442,013.39
  5. Step 5: Solve for x
    x = 6,655,442,013.39/105,307.68
  6. Step 6: Final answer
    x = 63,199.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.