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Finding the Fourth Proportional to 196,780.80, 295,139.52 and 56,507.52

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Solution

The fourth proportional to 196,780.80, 295,139.52 and 56,507.52 is: 84,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,780.80 : 295,139.52 = 56,507.52 : x
  2. Step 2: Convert to fraction form
    196,780.80/295,139.52 = 56,507.52/x
  3. Step 3: Cross multiply
    196,780.80x = 295,139.52 × 56,507.52
  4. Step 4: Simplify right side
    196,780.80x = 16,677,602,329.19
  5. Step 5: Solve for x
    x = 16,677,602,329.19/196,780.80
  6. Step 6: Final answer
    x = 84,752.18

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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.