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Finding the Fourth Proportional to 152,068.40, 228,102.60 and 135,155.60

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Solution

The fourth proportional to 152,068.40, 228,102.60 and 135,155.60 is: 202,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,068.40 : 228,102.60 = 135,155.60 : x
  2. Step 2: Convert to fraction form
    152,068.40/228,102.60 = 135,155.60/x
  3. Step 3: Cross multiply
    152,068.40x = 228,102.60 × 135,155.60
  4. Step 4: Simplify right side
    152,068.40x = 30,829,343,764.56
  5. Step 5: Solve for x
    x = 30,829,343,764.56/152,068.40
  6. Step 6: Final answer
    x = 202,733.40

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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.