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Finding the Fourth Proportional to 105,364.30, 157,657.65 and 96,033.10

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Solution

The fourth proportional to 105,364.30, 157,657.65 and 96,033.10 is: 143,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,364.30 : 157,657.65 = 96,033.10 : x
  2. Step 2: Convert to fraction form
    105,364.30/157,657.65 = 96,033.10/x
  3. Step 3: Cross multiply
    105,364.30x = 157,657.65 × 96,033.10
  4. Step 4: Simplify right side
    105,364.30x = 15,140,352,868.22
  5. Step 5: Solve for x
    x = 15,140,352,868.22/105,364.30
  6. Step 6: Final answer
    x = 143,695.28

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Why These Related Problems?

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