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Finding the Fourth Proportional to 282,116.64, 389,345.60 and 154,817.12

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Solution

The fourth proportional to 282,116.64, 389,345.60 and 154,817.12 is: 213,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,116.64 : 389,345.60 = 154,817.12 : x
  2. Step 2: Convert to fraction form
    282,116.64/389,345.60 = 154,817.12/x
  3. Step 3: Cross multiply
    282,116.64x = 389,345.60 × 154,817.12
  4. Step 4: Simplify right side
    282,116.64x = 60,277,364,476.67
  5. Step 5: Solve for x
    x = 60,277,364,476.67/282,116.64
  6. Step 6: Final answer
    x = 213,661.15

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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.