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Finding the Fourth Proportional to 135,673.68, 203,510.54 and 46,878.75

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Solution

The fourth proportional to 135,673.68, 203,510.54 and 46,878.75 is: 70,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,673.68 : 203,510.54 = 46,878.75 : x
  2. Step 2: Convert to fraction form
    135,673.68/203,510.54 = 46,878.75/x
  3. Step 3: Cross multiply
    135,673.68x = 203,510.54 × 46,878.75
  4. Step 4: Simplify right side
    135,673.68x = 9,540,319,492.63
  5. Step 5: Solve for x
    x = 9,540,319,492.63/135,673.68
  6. Step 6: Final answer
    x = 70,318.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.