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Finding the Fourth Proportional to 194,467, 291,700.50 and 63,139

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Solution

The fourth proportional to 194,467, 291,700.50 and 63,139 is: 94,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,467 : 291,700.50 = 63,139 : x
  2. Step 2: Convert to fraction form
    194,467/291,700.50 = 63,139/x
  3. Step 3: Cross multiply
    194,467x = 291,700.50 × 63,139
  4. Step 4: Simplify right side
    194,467x = 18,417,677,869.50
  5. Step 5: Solve for x
    x = 18,417,677,869.50/194,467
  6. Step 6: Final answer
    x = 94,708.50

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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.