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Finding the Fourth Proportional to 285,697.04, 428,582.16 and 96,076.16

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Solution

The fourth proportional to 285,697.04, 428,582.16 and 96,076.16 is: 144,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,697.04 : 428,582.16 = 96,076.16 : x
  2. Step 2: Convert to fraction form
    285,697.04/428,582.16 = 96,076.16/x
  3. Step 3: Cross multiply
    285,697.04x = 428,582.16 × 96,076.16
  4. Step 4: Simplify right side
    285,697.04x = 41,176,528,177.31
  5. Step 5: Solve for x
    x = 41,176,528,177.31/285,697.04
  6. Step 6: Final answer
    x = 144,126.55

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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.