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Finding the Fourth Proportional to 230,749, 346,160.08 and 97,630.26

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Solution

The fourth proportional to 230,749, 346,160.08 and 97,630.26 is: 146,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,749 : 346,160.08 = 97,630.26 : x
  2. Step 2: Convert to fraction form
    230,749/346,160.08 = 97,630.26/x
  3. Step 3: Cross multiply
    230,749x = 346,160.08 × 97,630.26
  4. Step 4: Simplify right side
    230,749x = 33,795,698,612.02
  5. Step 5: Solve for x
    x = 33,795,698,612.02/230,749
  6. Step 6: Final answer
    x = 146,460.87

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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.