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Finding the Fourth Proportional to 247,097.71, 370,506.11 and 97,256.77

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Solution

The fourth proportional to 247,097.71, 370,506.11 and 97,256.77 is: 145,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,097.71 : 370,506.11 = 97,256.77 : x
  2. Step 2: Convert to fraction form
    247,097.71/370,506.11 = 97,256.77/x
  3. Step 3: Cross multiply
    247,097.71x = 370,506.11 × 97,256.77
  4. Step 4: Simplify right side
    247,097.71x = 36,034,226,111.32
  5. Step 5: Solve for x
    x = 36,034,226,111.32/247,097.71
  6. Step 6: Final answer
    x = 145,829.87

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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.