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Finding the Fourth Proportional to 142,063.88, 196,050.88 and 78,400.31

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Solution

The fourth proportional to 142,063.88, 196,050.88 and 78,400.31 is: 108,193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,063.88 : 196,050.88 = 78,400.31 : x
  2. Step 2: Convert to fraction form
    142,063.88/196,050.88 = 78,400.31/x
  3. Step 3: Cross multiply
    142,063.88x = 196,050.88 × 78,400.31
  4. Step 4: Simplify right side
    142,063.88x = 15,370,448,885.52
  5. Step 5: Solve for x
    x = 15,370,448,885.52/142,063.88
  6. Step 6: Final answer
    x = 108,193.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.