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Finding the Fourth Proportional to 175,362.30, 262,870.65 and 86,543.10

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Solution

The fourth proportional to 175,362.30, 262,870.65 and 86,543.10 is: 129,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,362.30 : 262,870.65 = 86,543.10 : x
  2. Step 2: Convert to fraction form
    175,362.30/262,870.65 = 86,543.10/x
  3. Step 3: Cross multiply
    175,362.30x = 262,870.65 × 86,543.10
  4. Step 4: Simplify right side
    175,362.30x = 22,749,640,950.02
  5. Step 5: Solve for x
    x = 22,749,640,950.02/175,362.30
  6. Step 6: Final answer
    x = 129,729.37

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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.