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Finding the Fourth Proportional to 194,909.07, 292,374.54 and 54,678.63

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Solution

The fourth proportional to 194,909.07, 292,374.54 and 54,678.63 is: 82,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,909.07 : 292,374.54 = 54,678.63 : x
  2. Step 2: Convert to fraction form
    194,909.07/292,374.54 = 54,678.63/x
  3. Step 3: Cross multiply
    194,909.07x = 292,374.54 × 54,678.63
  4. Step 4: Simplify right side
    194,909.07x = 15,986,639,294.08
  5. Step 5: Solve for x
    x = 15,986,639,294.08/194,909.07
  6. Step 6: Final answer
    x = 82,021.01

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1.5x scale

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.