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Finding the Fourth Proportional to 125,547.32, 188,320.56 and 78,833

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Solution

The fourth proportional to 125,547.32, 188,320.56 and 78,833 is: 118,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,547.32 : 188,320.56 = 78,833 : x
  2. Step 2: Convert to fraction form
    125,547.32/188,320.56 = 78,833/x
  3. Step 3: Cross multiply
    125,547.32x = 188,320.56 × 78,833
  4. Step 4: Simplify right side
    125,547.32x = 14,845,874,706.48
  5. Step 5: Solve for x
    x = 14,845,874,706.48/125,547.32
  6. Step 6: Final answer
    x = 118,249.24

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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.