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Finding the Fourth Proportional to 147,877.52, 204,077.40 and 83,368.40

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Solution

The fourth proportional to 147,877.52, 204,077.40 and 83,368.40 is: 115,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,877.52 : 204,077.40 = 83,368.40 : x
  2. Step 2: Convert to fraction form
    147,877.52/204,077.40 = 83,368.40/x
  3. Step 3: Cross multiply
    147,877.52x = 204,077.40 × 83,368.40
  4. Step 4: Simplify right side
    147,877.52x = 17,013,606,314.16
  5. Step 5: Solve for x
    x = 17,013,606,314.16/147,877.52
  6. Step 6: Final answer
    x = 115,052.01

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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.