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Finding the Fourth Proportional to 180,407.68, 248,957.52 and 99,838.56

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Solution

The fourth proportional to 180,407.68, 248,957.52 and 99,838.56 is: 137,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,407.68 : 248,957.52 = 99,838.56 : x
  2. Step 2: Convert to fraction form
    180,407.68/248,957.52 = 99,838.56/x
  3. Step 3: Cross multiply
    180,407.68x = 248,957.52 × 99,838.56
  4. Step 4: Simplify right side
    180,407.68x = 24,855,560,297.97
  5. Step 5: Solve for x
    x = 24,855,560,297.97/180,407.68
  6. Step 6: Final answer
    x = 137,774.40

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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.