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Finding the Fourth Proportional to 341,113.14, 470,737.98 and 188,156.70

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Solution

The fourth proportional to 341,113.14, 470,737.98 and 188,156.70 is: 259,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,113.14 : 470,737.98 = 188,156.70 : x
  2. Step 2: Convert to fraction form
    341,113.14/470,737.98 = 188,156.70/x
  3. Step 3: Cross multiply
    341,113.14x = 470,737.98 × 188,156.70
  4. Step 4: Simplify right side
    341,113.14x = 88,572,504,881.47
  5. Step 5: Solve for x
    x = 88,572,504,881.47/341,113.14
  6. Step 6: Final answer
    x = 259,657.26

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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.