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Finding the Fourth Proportional to 230,859.70, 346,030.35 and 97,717.30

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Solution

The fourth proportional to 230,859.70, 346,030.35 and 97,717.30 is: 146,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,859.70 : 346,030.35 = 97,717.30 : x
  2. Step 2: Convert to fraction form
    230,859.70/346,030.35 = 97,717.30/x
  3. Step 3: Cross multiply
    230,859.70x = 346,030.35 × 97,717.30
  4. Step 4: Simplify right side
    230,859.70x = 33,813,151,520.06
  5. Step 5: Solve for x
    x = 33,813,151,520.06/230,859.70
  6. Step 6: Final answer
    x = 146,466.24

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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.