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Finding the Fourth Proportional to 199,534.59, 299,356.56 and 99,574.11

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Solution

The fourth proportional to 199,534.59, 299,356.56 and 99,574.11 is: 149,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,534.59 : 299,356.56 = 99,574.11 : x
  2. Step 2: Convert to fraction form
    199,534.59/299,356.56 = 99,574.11/x
  3. Step 3: Cross multiply
    199,534.59x = 299,356.56 × 99,574.11
  4. Step 4: Simplify right side
    199,534.59x = 29,808,163,034.66
  5. Step 5: Solve for x
    x = 29,808,163,034.66/199,534.59
  6. Step 6: Final answer
    x = 149,388.45

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1.5x scale

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.