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Finding the Fourth Proportional to 145,230.80, 202,908.40 and 145,230.80

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Solution

The fourth proportional to 145,230.80, 202,908.40 and 145,230.80 is: 202,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,230.80 : 202,908.40 = 145,230.80 : x
  2. Step 2: Convert to fraction form
    145,230.80/202,908.40 = 145,230.80/x
  3. Step 3: Cross multiply
    145,230.80x = 202,908.40 × 145,230.80
  4. Step 4: Simplify right side
    145,230.80x = 29,468,549,258.72
  5. Step 5: Solve for x
    x = 29,468,549,258.72/145,230.80
  6. Step 6: Final answer
    x = 202,908.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.