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Finding the Fourth Proportional to 196,710.66, 295,048.17 and 78,350.22

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Solution

The fourth proportional to 196,710.66, 295,048.17 and 78,350.22 is: 117,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,710.66 : 295,048.17 = 78,350.22 : x
  2. Step 2: Convert to fraction form
    196,710.66/295,048.17 = 78,350.22/x
  3. Step 3: Cross multiply
    196,710.66x = 295,048.17 × 78,350.22
  4. Step 4: Simplify right side
    196,710.66x = 23,117,089,030.10
  5. Step 5: Solve for x
    x = 23,117,089,030.10/196,710.66
  6. Step 6: Final answer
    x = 117,518.23

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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.