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Finding the Fourth Proportional to 207,257.16, 286,008.66 and 116,618.16

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Solution

The fourth proportional to 207,257.16, 286,008.66 and 116,618.16 is: 160,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,257.16 : 286,008.66 = 116,618.16 : x
  2. Step 2: Convert to fraction form
    207,257.16/286,008.66 = 116,618.16/x
  3. Step 3: Cross multiply
    207,257.16x = 286,008.66 × 116,618.16
  4. Step 4: Simplify right side
    207,257.16x = 33,353,803,673.27
  5. Step 5: Solve for x
    x = 33,353,803,673.27/207,257.16
  6. Step 6: Final answer
    x = 160,929.56

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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.