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Finding the Fourth Proportional to 233,063.61, 349,606.35 and 83,374.80

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Solution

The fourth proportional to 233,063.61, 349,606.35 and 83,374.80 is: 125,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,063.61 : 349,606.35 = 83,374.80 : x
  2. Step 2: Convert to fraction form
    233,063.61/349,606.35 = 83,374.80/x
  3. Step 3: Cross multiply
    233,063.61x = 349,606.35 × 83,374.80
  4. Step 4: Simplify right side
    233,063.61x = 29,148,359,509.98
  5. Step 5: Solve for x
    x = 29,148,359,509.98/233,063.61
  6. Step 6: Final answer
    x = 125,066.11

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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.