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Finding the Fourth Proportional to 128,002.56, 176,643 and 71,413.98

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Solution

The fourth proportional to 128,002.56, 176,643 and 71,413.98 is: 98,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,002.56 : 176,643 = 71,413.98 : x
  2. Step 2: Convert to fraction form
    128,002.56/176,643 = 71,413.98/x
  3. Step 3: Cross multiply
    128,002.56x = 176,643 × 71,413.98
  4. Step 4: Simplify right side
    128,002.56x = 12,614,779,669.14
  5. Step 5: Solve for x
    x = 12,614,779,669.14/128,002.56
  6. Step 6: Final answer
    x = 98,551.00

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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.