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Finding the Fourth Proportional to 105,485.76, 145,557.54 and 84,030.15

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Solution

The fourth proportional to 105,485.76, 145,557.54 and 84,030.15 is: 115,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,485.76 : 145,557.54 = 84,030.15 : x
  2. Step 2: Convert to fraction form
    105,485.76/145,557.54 = 84,030.15/x
  3. Step 3: Cross multiply
    105,485.76x = 145,557.54 × 84,030.15
  4. Step 4: Simplify right side
    105,485.76x = 12,231,221,919.83
  5. Step 5: Solve for x
    x = 12,231,221,919.83/105,485.76
  6. Step 6: Final answer
    x = 115,951.40

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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.