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Finding the Fourth Proportional to 267,642.14, 369,349.86 and 146,775.45

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Solution

The fourth proportional to 267,642.14, 369,349.86 and 146,775.45 is: 202,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642.14 : 369,349.86 = 146,775.45 : x
  2. Step 2: Convert to fraction form
    267,642.14/369,349.86 = 146,775.45/x
  3. Step 3: Cross multiply
    267,642.14x = 369,349.86 × 146,775.45
  4. Step 4: Simplify right side
    267,642.14x = 54,211,493,018.80
  5. Step 5: Solve for x
    x = 54,211,493,018.80/267,642.14
  6. Step 6: Final answer
    x = 202,552.16

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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.