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Finding the Fourth Proportional to 194,332.34, 291,508.95 and 61,223.01

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Solution

The fourth proportional to 194,332.34, 291,508.95 and 61,223.01 is: 91,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,332.34 : 291,508.95 = 61,223.01 : x
  2. Step 2: Convert to fraction form
    194,332.34/291,508.95 = 61,223.01/x
  3. Step 3: Cross multiply
    194,332.34x = 291,508.95 × 61,223.01
  4. Step 4: Simplify right side
    194,332.34x = 17,847,056,784.78
  5. Step 5: Solve for x
    x = 17,847,056,784.78/194,332.34
  6. Step 6: Final answer
    x = 91,837.81

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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.