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Finding the Fourth Proportional to 228,587.46, 342,897.62 and 78,825.59

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Solution

The fourth proportional to 228,587.46, 342,897.62 and 78,825.59 is: 118,244.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,587.46 : 342,897.62 = 78,825.59 : x
  2. Step 2: Convert to fraction form
    228,587.46/342,897.62 = 78,825.59/x
  3. Step 3: Cross multiply
    228,587.46x = 342,897.62 × 78,825.59
  4. Step 4: Simplify right side
    228,587.46x = 27,029,106,826.74
  5. Step 5: Solve for x
    x = 27,029,106,826.74/228,587.46
  6. Step 6: Final answer
    x = 118,244.05

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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.