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Finding the Fourth Proportional to 124,598.90, 186,675.60 and 75,823.40

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Solution

The fourth proportional to 124,598.90, 186,675.60 and 75,823.40 is: 113,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,598.90 : 186,675.60 = 75,823.40 : x
  2. Step 2: Convert to fraction form
    124,598.90/186,675.60 = 75,823.40/x
  3. Step 3: Cross multiply
    124,598.90x = 186,675.60 × 75,823.40
  4. Step 4: Simplify right side
    124,598.90x = 14,154,378,689.04
  5. Step 5: Solve for x
    x = 14,154,378,689.04/124,598.90
  6. Step 6: Final answer
    x = 113,599.55

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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.