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Finding the Fourth Proportional to 205,002.96, 282,923.56 and 128,534.16

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Solution

The fourth proportional to 205,002.96, 282,923.56 and 128,534.16 is: 177,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,002.96 : 282,923.56 = 128,534.16 : x
  2. Step 2: Convert to fraction form
    205,002.96/282,923.56 = 128,534.16/x
  3. Step 3: Cross multiply
    205,002.96x = 282,923.56 × 128,534.16
  4. Step 4: Simplify right side
    205,002.96x = 36,365,342,128.81
  5. Step 5: Solve for x
    x = 36,365,342,128.81/205,002.96
  6. Step 6: Final answer
    x = 177,389.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.