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Finding the Fourth Proportional to 147,015.84, 202,886.32 and 83,356.32

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Solution

The fourth proportional to 147,015.84, 202,886.32 and 83,356.32 is: 115,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,015.84 : 202,886.32 = 83,356.32 : x
  2. Step 2: Convert to fraction form
    147,015.84/202,886.32 = 83,356.32/x
  3. Step 3: Cross multiply
    147,015.84x = 202,886.32 × 83,356.32
  4. Step 4: Simplify right side
    147,015.84x = 16,911,857,013.54
  5. Step 5: Solve for x
    x = 16,911,857,013.54/147,015.84
  6. Step 6: Final answer
    x = 115,034.25

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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.