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Finding the Fourth Proportional to 175,281.40, 262,922.10 and 86,577.40

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Solution

The fourth proportional to 175,281.40, 262,922.10 and 86,577.40 is: 129,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,281.40 : 262,922.10 = 86,577.40 : x
  2. Step 2: Convert to fraction form
    175,281.40/262,922.10 = 86,577.40/x
  3. Step 3: Cross multiply
    175,281.40x = 262,922.10 × 86,577.40
  4. Step 4: Simplify right side
    175,281.40x = 22,763,111,820.54
  5. Step 5: Solve for x
    x = 22,763,111,820.54/175,281.40
  6. Step 6: Final answer
    x = 129,866.10

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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.