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Finding the Fourth Proportional to 124,547.22, 186,920.46 and 65,417.76

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Solution

The fourth proportional to 124,547.22, 186,920.46 and 65,417.76 is: 98,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,547.22 : 186,920.46 = 65,417.76 : x
  2. Step 2: Convert to fraction form
    124,547.22/186,920.46 = 65,417.76/x
  3. Step 3: Cross multiply
    124,547.22x = 186,920.46 × 65,417.76
  4. Step 4: Simplify right side
    124,547.22x = 12,227,917,791.37
  5. Step 5: Solve for x
    x = 12,227,917,791.37/124,547.22
  6. Step 6: Final answer
    x = 98,178.97

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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.