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Finding the Fourth Proportional to 285,828.72, 428,743.08 and 98,738.16

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Solution

The fourth proportional to 285,828.72, 428,743.08 and 98,738.16 is: 148,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,828.72 : 428,743.08 = 98,738.16 : x
  2. Step 2: Convert to fraction form
    285,828.72/428,743.08 = 98,738.16/x
  3. Step 3: Cross multiply
    285,828.72x = 428,743.08 × 98,738.16
  4. Step 4: Simplify right side
    285,828.72x = 42,333,302,831.93
  5. Step 5: Solve for x
    x = 42,333,302,831.93/285,828.72
  6. Step 6: Final answer
    x = 148,107.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.