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Finding the Fourth Proportional to 230,462.16, 345,455.80 and 88,268.64

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Solution

The fourth proportional to 230,462.16, 345,455.80 and 88,268.64 is: 132,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,462.16 : 345,455.80 = 88,268.64 : x
  2. Step 2: Convert to fraction form
    230,462.16/345,455.80 = 88,268.64/x
  3. Step 3: Cross multiply
    230,462.16x = 345,455.80 × 88,268.64
  4. Step 4: Simplify right side
    230,462.16x = 30,492,913,646.11
  5. Step 5: Solve for x
    x = 30,492,913,646.11/230,462.16
  6. Step 6: Final answer
    x = 132,312.02

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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.