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Finding the Fourth Proportional to 289,126.58, 433,711.80 and 89,467.14

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Solution

The fourth proportional to 289,126.58, 433,711.80 and 89,467.14 is: 134,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,126.58 : 433,711.80 = 89,467.14 : x
  2. Step 2: Convert to fraction form
    289,126.58/433,711.80 = 89,467.14/x
  3. Step 3: Cross multiply
    289,126.58x = 433,711.80 × 89,467.14
  4. Step 4: Simplify right side
    289,126.58x = 38,802,955,956.67
  5. Step 5: Solve for x
    x = 38,802,955,956.67/289,126.58
  6. Step 6: Final answer
    x = 134,207.50

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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.