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Finding the Fourth Proportional to 114,854.80, 158,503.06 and 69,541.08

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Solution

The fourth proportional to 114,854.80, 158,503.06 and 69,541.08 is: 95,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,854.80 : 158,503.06 = 69,541.08 : x
  2. Step 2: Convert to fraction form
    114,854.80/158,503.06 = 69,541.08/x
  3. Step 3: Cross multiply
    114,854.80x = 158,503.06 × 69,541.08
  4. Step 4: Simplify right side
    114,854.80x = 11,022,473,975.70
  5. Step 5: Solve for x
    x = 11,022,473,975.70/114,854.80
  6. Step 6: Final answer
    x = 95,968.77

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Why These Related Problems?

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