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Finding the Fourth Proportional to 231,130, 346,695.08 and 64,918

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Solution

The fourth proportional to 231,130, 346,695.08 and 64,918 is: 97,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,130 : 346,695.08 = 64,918 : x
  2. Step 2: Convert to fraction form
    231,130/346,695.08 = 64,918/x
  3. Step 3: Cross multiply
    231,130x = 346,695.08 × 64,918
  4. Step 4: Simplify right side
    231,130x = 22,506,751,203.44
  5. Step 5: Solve for x
    x = 22,506,751,203.44/231,130
  6. Step 6: Final answer
    x = 97,377.02

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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.