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Finding the Fourth Proportional to 230,963.36, 318,513.12 and 153,301.64

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Solution

The fourth proportional to 230,963.36, 318,513.12 and 153,301.64 is: 211,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,963.36 : 318,513.12 = 153,301.64 : x
  2. Step 2: Convert to fraction form
    230,963.36/318,513.12 = 153,301.64/x
  3. Step 3: Cross multiply
    230,963.36x = 318,513.12 × 153,301.64
  4. Step 4: Simplify right side
    230,963.36x = 48,828,583,657.52
  5. Step 5: Solve for x
    x = 48,828,583,657.52/230,963.36
  6. Step 6: Final answer
    x = 211,412.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.