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Finding the Fourth Proportional to 288,728.58, 432,984.98 and 99,135.12

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Solution

The fourth proportional to 288,728.58, 432,984.98 and 99,135.12 is: 148,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,728.58 : 432,984.98 = 99,135.12 : x
  2. Step 2: Convert to fraction form
    288,728.58/432,984.98 = 99,135.12/x
  3. Step 3: Cross multiply
    288,728.58x = 432,984.98 × 99,135.12
  4. Step 4: Simplify right side
    288,728.58x = 42,924,017,950.50
  5. Step 5: Solve for x
    x = 42,924,017,950.50/288,728.58
  6. Step 6: Final answer
    x = 148,665.64

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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.