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Finding the Fourth Proportional to 140,547.32, 210,849.22 and 51,801.32

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Solution

The fourth proportional to 140,547.32, 210,849.22 and 51,801.32 is: 77,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,547.32 : 210,849.22 = 51,801.32 : x
  2. Step 2: Convert to fraction form
    140,547.32/210,849.22 = 51,801.32/x
  3. Step 3: Cross multiply
    140,547.32x = 210,849.22 × 51,801.32
  4. Step 4: Simplify right side
    140,547.32x = 10,922,267,916.97
  5. Step 5: Solve for x
    x = 10,922,267,916.97/140,547.32
  6. Step 6: Final answer
    x = 77,712.39

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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.