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Finding the Fourth Proportional to 145,954.38, 201,417.40 and 78,886.38

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Solution

The fourth proportional to 145,954.38, 201,417.40 and 78,886.38 is: 108,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,954.38 : 201,417.40 = 78,886.38 : x
  2. Step 2: Convert to fraction form
    145,954.38/201,417.40 = 78,886.38/x
  3. Step 3: Cross multiply
    145,954.38x = 201,417.40 × 78,886.38
  4. Step 4: Simplify right side
    145,954.38x = 15,889,089,555.01
  5. Step 5: Solve for x
    x = 15,889,089,555.01/145,954.38
  6. Step 6: Final answer
    x = 108,863.40

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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.