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Finding the Fourth Proportional to 345,351, 518,055.84 and 96,033

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Solution

The fourth proportional to 345,351, 518,055.84 and 96,033 is: 144,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,351 : 518,055.84 = 96,033 : x
  2. Step 2: Convert to fraction form
    345,351/518,055.84 = 96,033/x
  3. Step 3: Cross multiply
    345,351x = 518,055.84 × 96,033
  4. Step 4: Simplify right side
    345,351x = 49,750,456,482.72
  5. Step 5: Solve for x
    x = 49,750,456,482.72/345,351
  6. Step 6: Final answer
    x = 144,057.66

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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.