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Finding the Fourth Proportional to 102,094.81, 140,894.26 and 56,156.39

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Solution

The fourth proportional to 102,094.81, 140,894.26 and 56,156.39 is: 77,497.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.81 : 140,894.26 = 56,156.39 : x
  2. Step 2: Convert to fraction form
    102,094.81/140,894.26 = 56,156.39/x
  3. Step 3: Cross multiply
    102,094.81x = 140,894.26 × 56,156.39
  4. Step 4: Simplify right side
    102,094.81x = 7,912,113,225.17
  5. Step 5: Solve for x
    x = 7,912,113,225.17/102,094.81
  6. Step 6: Final answer
    x = 77,497.70

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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.