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Finding the Fourth Proportional to 230,836.90, 346,211.61 and 81,041.98

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Solution

The fourth proportional to 230,836.90, 346,211.61 and 81,041.98 is: 121,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,836.90 : 346,211.61 = 81,041.98 : x
  2. Step 2: Convert to fraction form
    230,836.90/346,211.61 = 81,041.98/x
  3. Step 3: Cross multiply
    230,836.90x = 346,211.61 × 81,041.98
  4. Step 4: Simplify right side
    230,836.90x = 28,057,674,373.39
  5. Step 5: Solve for x
    x = 28,057,674,373.39/230,836.90
  6. Step 6: Final answer
    x = 121,547.61

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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.