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Finding the Fourth Proportional to 145,657.36, 201,022.32 and 89,106.40

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Solution

The fourth proportional to 145,657.36, 201,022.32 and 89,106.40 is: 122,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657.36 : 201,022.32 = 89,106.40 : x
  2. Step 2: Convert to fraction form
    145,657.36/201,022.32 = 89,106.40/x
  3. Step 3: Cross multiply
    145,657.36x = 201,022.32 × 89,106.40
  4. Step 4: Simplify right side
    145,657.36x = 17,912,375,254.85
  5. Step 5: Solve for x
    x = 17,912,375,254.85/145,657.36
  6. Step 6: Final answer
    x = 122,976.11

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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.