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Finding the Fourth Proportional to 288,812.04, 433,059.46 and 89,077

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Solution

The fourth proportional to 288,812.04, 433,059.46 and 89,077 is: 133,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,812.04 : 433,059.46 = 89,077 : x
  2. Step 2: Convert to fraction form
    288,812.04/433,059.46 = 89,077/x
  3. Step 3: Cross multiply
    288,812.04x = 433,059.46 × 89,077
  4. Step 4: Simplify right side
    288,812.04x = 38,575,637,518.42
  5. Step 5: Solve for x
    x = 38,575,637,518.42/288,812.04
  6. Step 6: Final answer
    x = 133,566.58

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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.