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Finding the Fourth Proportional to 230,130.02, 345,242.10 and 97,010.30

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Solution

The fourth proportional to 230,130.02, 345,242.10 and 97,010.30 is: 145,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,130.02 : 345,242.10 = 97,010.30 : x
  2. Step 2: Convert to fraction form
    230,130.02/345,242.10 = 97,010.30/x
  3. Step 3: Cross multiply
    230,130.02x = 345,242.10 × 97,010.30
  4. Step 4: Simplify right side
    230,130.02x = 33,492,039,693.63
  5. Step 5: Solve for x
    x = 33,492,039,693.63/230,130.02
  6. Step 6: Final answer
    x = 145,535.29

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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.