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Finding the Fourth Proportional to 173,830.84, 260,746.26 and 94,902

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Solution

The fourth proportional to 173,830.84, 260,746.26 and 94,902 is: 142,353

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,830.84 : 260,746.26 = 94,902 : x
  2. Step 2: Convert to fraction form
    173,830.84/260,746.26 = 94,902/x
  3. Step 3: Cross multiply
    173,830.84x = 260,746.26 × 94,902
  4. Step 4: Simplify right side
    173,830.84x = 24,745,341,566.52
  5. Step 5: Solve for x
    x = 24,745,341,566.52/173,830.84
  6. Step 6: Final answer
    x = 142,353

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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.