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Finding the Fourth Proportional to 150,252.50, 207,355.30 and 83,184.50

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Solution

The fourth proportional to 150,252.50, 207,355.30 and 83,184.50 is: 114,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,252.50 : 207,355.30 = 83,184.50 : x
  2. Step 2: Convert to fraction form
    150,252.50/207,355.30 = 83,184.50/x
  3. Step 3: Cross multiply
    150,252.50x = 207,355.30 × 83,184.50
  4. Step 4: Simplify right side
    150,252.50x = 17,248,746,952.85
  5. Step 5: Solve for x
    x = 17,248,746,952.85/150,252.50
  6. Step 6: Final answer
    x = 114,798.40

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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.