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Finding the Fourth Proportional to 196,776.86, 295,308.65 and 78,482.03

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Solution

The fourth proportional to 196,776.86, 295,308.65 and 78,482.03 is: 117,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,776.86 : 295,308.65 = 78,482.03 : x
  2. Step 2: Convert to fraction form
    196,776.86/295,308.65 = 78,482.03/x
  3. Step 3: Cross multiply
    196,776.86x = 295,308.65 × 78,482.03
  4. Step 4: Simplify right side
    196,776.86x = 23,176,421,048.22
  5. Step 5: Solve for x
    x = 23,176,421,048.22/196,776.86
  6. Step 6: Final answer
    x = 117,780.22

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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.