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Finding the Fourth Proportional to 288,670.44, 432,894.90 and 99,095.48

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Solution

The fourth proportional to 288,670.44, 432,894.90 and 99,095.48 is: 148,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,670.44 : 432,894.90 = 99,095.48 : x
  2. Step 2: Convert to fraction form
    288,670.44/432,894.90 = 99,095.48/x
  3. Step 3: Cross multiply
    288,670.44x = 432,894.90 × 99,095.48
  4. Step 4: Simplify right side
    288,670.44x = 42,897,927,905.05
  5. Step 5: Solve for x
    x = 42,897,927,905.05/288,670.44
  6. Step 6: Final answer
    x = 148,605.20

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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.