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Finding the Fourth Proportional to 194,903.47, 292,355.20 and 47,159.47

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Solution

The fourth proportional to 194,903.47, 292,355.20 and 47,159.47 is: 70,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,903.47 : 292,355.20 = 47,159.47 : x
  2. Step 2: Convert to fraction form
    194,903.47/292,355.20 = 47,159.47/x
  3. Step 3: Cross multiply
    194,903.47x = 292,355.20 × 47,159.47
  4. Step 4: Simplify right side
    194,903.47x = 13,787,316,283.74
  5. Step 5: Solve for x
    x = 13,787,316,283.74/194,903.47
  6. Step 6: Final answer
    x = 70,739.20

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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.