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Finding the Fourth Proportional to 150,349.75, 207,483.06 and 83,281.75

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Solution

The fourth proportional to 150,349.75, 207,483.06 and 83,281.75 is: 114,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,349.75 : 207,483.06 = 83,281.75 : x
  2. Step 2: Convert to fraction form
    150,349.75/207,483.06 = 83,281.75/x
  3. Step 3: Cross multiply
    150,349.75x = 207,483.06 × 83,281.75
  4. Step 4: Simplify right side
    150,349.75x = 17,279,552,332.16
  5. Step 5: Solve for x
    x = 17,279,552,332.16/150,349.75
  6. Step 6: Final answer
    x = 114,929.04

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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.