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Finding the Fourth Proportional to 216,383.32, 298,724.70 and 144,885.16

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Solution

The fourth proportional to 216,383.32, 298,724.70 and 144,885.16 is: 200,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,383.32 : 298,724.70 = 144,885.16 : x
  2. Step 2: Convert to fraction form
    216,383.32/298,724.70 = 144,885.16/x
  3. Step 3: Cross multiply
    216,383.32x = 298,724.70 × 144,885.16
  4. Step 4: Simplify right side
    216,383.32x = 43,280,775,955.45
  5. Step 5: Solve for x
    x = 43,280,775,955.45/216,383.32
  6. Step 6: Final answer
    x = 200,019.00

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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.