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Finding the Fourth Proportional to 153,794.16, 230,609.04 and 78,883.76

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Solution

The fourth proportional to 153,794.16, 230,609.04 and 78,883.76 is: 118,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,794.16 : 230,609.04 = 78,883.76 : x
  2. Step 2: Convert to fraction form
    153,794.16/230,609.04 = 78,883.76/x
  3. Step 3: Cross multiply
    153,794.16x = 230,609.04 × 78,883.76
  4. Step 4: Simplify right side
    153,794.16x = 18,191,308,165.19
  5. Step 5: Solve for x
    x = 18,191,308,165.19/153,794.16
  6. Step 6: Final answer
    x = 118,283.48

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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.