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Finding the Fourth Proportional to 230,784.80, 346,306.80 and 97,642.40

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Solution

The fourth proportional to 230,784.80, 346,306.80 and 97,642.40 is: 146,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,784.80 : 346,306.80 = 97,642.40 : x
  2. Step 2: Convert to fraction form
    230,784.80/346,306.80 = 97,642.40/x
  3. Step 3: Cross multiply
    230,784.80x = 346,306.80 × 97,642.40
  4. Step 4: Simplify right side
    230,784.80x = 33,814,227,088.32
  5. Step 5: Solve for x
    x = 33,814,227,088.32/230,784.80
  6. Step 6: Final answer
    x = 146,518.43

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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.