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Finding the Fourth Proportional to 144,973, 200,063.10 and 84,585.16

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Solution

The fourth proportional to 144,973, 200,063.10 and 84,585.16 is: 116,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,973 : 200,063.10 = 84,585.16 : x
  2. Step 2: Convert to fraction form
    144,973/200,063.10 = 84,585.16/x
  3. Step 3: Cross multiply
    144,973x = 200,063.10 × 84,585.16
  4. Step 4: Simplify right side
    144,973x = 16,922,369,323.60
  5. Step 5: Solve for x
    x = 16,922,369,323.60/144,973
  6. Step 6: Final answer
    x = 116,727.73

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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.