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Finding the Fourth Proportional to 158,041.46, 218,097.42 and 90,055.46

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Solution

The fourth proportional to 158,041.46, 218,097.42 and 90,055.46 is: 124,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,041.46 : 218,097.42 = 90,055.46 : x
  2. Step 2: Convert to fraction form
    158,041.46/218,097.42 = 90,055.46/x
  3. Step 3: Cross multiply
    158,041.46x = 218,097.42 × 90,055.46
  4. Step 4: Simplify right side
    158,041.46x = 19,640,863,482.91
  5. Step 5: Solve for x
    x = 19,640,863,482.91/158,041.46
  6. Step 6: Final answer
    x = 124,276.65

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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.