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Finding the Fourth Proportional to 144,914.30, 202,465.30 and 144,914.30

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Solution

The fourth proportional to 144,914.30, 202,465.30 and 144,914.30 is: 202,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,914.30 : 202,465.30 = 144,914.30 : x
  2. Step 2: Convert to fraction form
    144,914.30/202,465.30 = 144,914.30/x
  3. Step 3: Cross multiply
    144,914.30x = 202,465.30 × 144,914.30
  4. Step 4: Simplify right side
    144,914.30x = 29,340,117,223.79
  5. Step 5: Solve for x
    x = 29,340,117,223.79/144,914.30
  6. Step 6: Final answer
    x = 202,465.30

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1.5x scale

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.