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Finding the Fourth Proportional to 188,924, 260,711.16 and 104,041.76

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Solution

The fourth proportional to 188,924, 260,711.16 and 104,041.76 is: 143,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,924 : 260,711.16 = 104,041.76 : x
  2. Step 2: Convert to fraction form
    188,924/260,711.16 = 104,041.76/x
  3. Step 3: Cross multiply
    188,924x = 260,711.16 × 104,041.76
  4. Step 4: Simplify right side
    188,924x = 27,124,847,938.04
  5. Step 5: Solve for x
    x = 27,124,847,938.04/188,924
  6. Step 6: Final answer
    x = 143,575.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.