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Finding the Fourth Proportional to 357,087.72, 535,257.93 and 120,348.66

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Solution

The fourth proportional to 357,087.72, 535,257.93 and 120,348.66 is: 180,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,087.72 : 535,257.93 = 120,348.66 : x
  2. Step 2: Convert to fraction form
    357,087.72/535,257.93 = 120,348.66/x
  3. Step 3: Cross multiply
    357,087.72x = 535,257.93 × 120,348.66
  4. Step 4: Simplify right side
    357,087.72x = 64,417,574,629.87
  5. Step 5: Solve for x
    x = 64,417,574,629.87/357,087.72
  6. Step 6: Final answer
    x = 180,397.06

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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.