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Finding the Fourth Proportional to 180,034, 248,443.98 and 99,464.92

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Solution

The fourth proportional to 180,034, 248,443.98 and 99,464.92 is: 137,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,034 : 248,443.98 = 99,464.92 : x
  2. Step 2: Convert to fraction form
    180,034/248,443.98 = 99,464.92/x
  3. Step 3: Cross multiply
    180,034x = 248,443.98 × 99,464.92
  4. Step 4: Simplify right side
    180,034x = 24,711,460,595.18
  5. Step 5: Solve for x
    x = 24,711,460,595.18/180,034
  6. Step 6: Final answer
    x = 137,259.97

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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.