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Finding the Fourth Proportional to 247,310, 370,715.74 and 97,492.31

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Solution

The fourth proportional to 247,310, 370,715.74 and 97,492.31 is: 146,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,310 : 370,715.74 = 97,492.31 : x
  2. Step 2: Convert to fraction form
    247,310/370,715.74 = 97,492.31/x
  3. Step 3: Cross multiply
    247,310x = 370,715.74 × 97,492.31
  4. Step 4: Simplify right side
    247,310x = 36,141,933,845.96
  5. Step 5: Solve for x
    x = 36,141,933,845.96/247,310
  6. Step 6: Final answer
    x = 146,140.20

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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.