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Finding the Fourth Proportional to 194,746.68, 292,120.02 and 47,002.68

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Solution

The fourth proportional to 194,746.68, 292,120.02 and 47,002.68 is: 70,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,746.68 : 292,120.02 = 47,002.68 : x
  2. Step 2: Convert to fraction form
    194,746.68/292,120.02 = 47,002.68/x
  3. Step 3: Cross multiply
    194,746.68x = 292,120.02 × 47,002.68
  4. Step 4: Simplify right side
    194,746.68x = 13,730,423,821.65
  5. Step 5: Solve for x
    x = 13,730,423,821.65/194,746.68
  6. Step 6: Final answer
    x = 70,504.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.