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Finding the Fourth Proportional to 105,191.40, 157,710.30 and 42,829.80

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Solution

The fourth proportional to 105,191.40, 157,710.30 and 42,829.80 is: 64,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,191.40 : 157,710.30 = 42,829.80 : x
  2. Step 2: Convert to fraction form
    105,191.40/157,710.30 = 42,829.80/x
  3. Step 3: Cross multiply
    105,191.40x = 157,710.30 × 42,829.80
  4. Step 4: Simplify right side
    105,191.40x = 6,754,700,606.94
  5. Step 5: Solve for x
    x = 6,754,700,606.94/105,191.40
  6. Step 6: Final answer
    x = 64,213.43

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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.