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Finding the Fourth Proportional to 145,853.40, 218,828.70 and 130,175.40

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Solution

The fourth proportional to 145,853.40, 218,828.70 and 130,175.40 is: 195,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853.40 : 218,828.70 = 130,175.40 : x
  2. Step 2: Convert to fraction form
    145,853.40/218,828.70 = 130,175.40/x
  3. Step 3: Cross multiply
    145,853.40x = 218,828.70 × 130,175.40
  4. Step 4: Simplify right side
    145,853.40x = 28,486,113,553.98
  5. Step 5: Solve for x
    x = 28,486,113,553.98/145,853.40
  6. Step 6: Final answer
    x = 195,306.48

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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.