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Finding the Fourth Proportional to 180,002.16, 248,398.16 and 99,427.96

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Solution

The fourth proportional to 180,002.16, 248,398.16 and 99,427.96 is: 137,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,002.16 : 248,398.16 = 99,427.96 : x
  2. Step 2: Convert to fraction form
    180,002.16/248,398.16 = 99,427.96/x
  3. Step 3: Cross multiply
    180,002.16x = 248,398.16 × 99,427.96
  4. Step 4: Simplify right side
    180,002.16x = 24,697,722,316.55
  5. Step 5: Solve for x
    x = 24,697,722,316.55/180,002.16
  6. Step 6: Final answer
    x = 137,207.92

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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.