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Finding the Fourth Proportional to 145,415.80, 218,123.70 and 51,909.40

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Solution

The fourth proportional to 145,415.80, 218,123.70 and 51,909.40 is: 77,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,415.80 : 218,123.70 = 51,909.40 : x
  2. Step 2: Convert to fraction form
    145,415.80/218,123.70 = 51,909.40/x
  3. Step 3: Cross multiply
    145,415.80x = 218,123.70 × 51,909.40
  4. Step 4: Simplify right side
    145,415.80x = 11,322,670,392.78
  5. Step 5: Solve for x
    x = 11,322,670,392.78/145,415.80
  6. Step 6: Final answer
    x = 77,864.10

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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.