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Finding the Fourth Proportional to 230,637.61, 345,971 and 97,500.34

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Solution

The fourth proportional to 230,637.61, 345,971 and 97,500.34 is: 146,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,637.61 : 345,971 = 97,500.34 : x
  2. Step 2: Convert to fraction form
    230,637.61/345,971 = 97,500.34/x
  3. Step 3: Cross multiply
    230,637.61x = 345,971 × 97,500.34
  4. Step 4: Simplify right side
    230,637.61x = 33,732,290,130.14
  5. Step 5: Solve for x
    x = 33,732,290,130.14/230,637.61
  6. Step 6: Final answer
    x = 146,256.68

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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.