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Finding the Fourth Proportional to 194,506.63, 291,259.77 and 156,376.69

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Solution

The fourth proportional to 194,506.63, 291,259.77 and 156,376.69 is: 234,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,506.63 : 291,259.77 = 156,376.69 : x
  2. Step 2: Convert to fraction form
    194,506.63/291,259.77 = 156,376.69/x
  3. Step 3: Cross multiply
    194,506.63x = 291,259.77 × 156,376.69
  4. Step 4: Simplify right side
    194,506.63x = 45,546,238,762.76
  5. Step 5: Solve for x
    x = 45,546,238,762.76/194,506.63
  6. Step 6: Final answer
    x = 234,162.91

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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.