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Finding the Fourth Proportional to 124,143, 186,216.24 and 35,396.50

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Solution

The fourth proportional to 124,143, 186,216.24 and 35,396.50 is: 53,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,143 : 186,216.24 = 35,396.50 : x
  2. Step 2: Convert to fraction form
    124,143/186,216.24 = 35,396.50/x
  3. Step 3: Cross multiply
    124,143x = 186,216.24 × 35,396.50
  4. Step 4: Simplify right side
    124,143x = 6,591,403,139.16
  5. Step 5: Solve for x
    x = 6,591,403,139.16/124,143
  6. Step 6: Final answer
    x = 53,095.25

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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.