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Finding the Fourth Proportional to 224,871.77, 310,293.06 and 144,408.29

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Solution

The fourth proportional to 224,871.77, 310,293.06 and 144,408.29 is: 199,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,871.77 : 310,293.06 = 144,408.29 : x
  2. Step 2: Convert to fraction form
    224,871.77/310,293.06 = 144,408.29/x
  3. Step 3: Cross multiply
    224,871.77x = 310,293.06 × 144,408.29
  4. Step 4: Simplify right side
    224,871.77x = 44,808,888,912.77
  5. Step 5: Solve for x
    x = 44,808,888,912.77/224,871.77
  6. Step 6: Final answer
    x = 199,264.18

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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.