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Finding the Fourth Proportional to 150,030.68, 207,041.82 and 82,962.68

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Solution

The fourth proportional to 150,030.68, 207,041.82 and 82,962.68 is: 114,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,030.68 : 207,041.82 = 82,962.68 : x
  2. Step 2: Convert to fraction form
    150,030.68/207,041.82 = 82,962.68/x
  3. Step 3: Cross multiply
    150,030.68x = 207,041.82 × 82,962.68
  4. Step 4: Simplify right side
    150,030.68x = 17,176,744,259.28
  5. Step 5: Solve for x
    x = 17,176,744,259.28/150,030.68
  6. Step 6: Final answer
    x = 114,488.21

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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.