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Finding the Fourth Proportional to 105,076.98, 145,006.02 and 57,330.30

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Solution

The fourth proportional to 105,076.98, 145,006.02 and 57,330.30 is: 79,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,076.98 : 145,006.02 = 57,330.30 : x
  2. Step 2: Convert to fraction form
    105,076.98/145,006.02 = 57,330.30/x
  3. Step 3: Cross multiply
    105,076.98x = 145,006.02 × 57,330.30
  4. Step 4: Simplify right side
    105,076.98x = 8,313,238,628.41
  5. Step 5: Solve for x
    x = 8,313,238,628.41/105,076.98
  6. Step 6: Final answer
    x = 79,115.70

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1.5x scale

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.