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Finding the Fourth Proportional to 206,695.54, 310,075.80 and 88,367.50

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Solution

The fourth proportional to 206,695.54, 310,075.80 and 88,367.50 is: 132,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.54 : 310,075.80 = 88,367.50 : x
  2. Step 2: Convert to fraction form
    206,695.54/310,075.80 = 88,367.50/x
  3. Step 3: Cross multiply
    206,695.54x = 310,075.80 × 88,367.50
  4. Step 4: Simplify right side
    206,695.54x = 27,400,623,256.50
  5. Step 5: Solve for x
    x = 27,400,623,256.50/206,695.54
  6. Step 6: Final answer
    x = 132,565.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.