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Finding the Fourth Proportional to 152,602.70, 228,857.24 and 105,520.32

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Solution

The fourth proportional to 152,602.70, 228,857.24 and 105,520.32 is: 158,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,602.70 : 228,857.24 = 105,520.32 : x
  2. Step 2: Convert to fraction form
    152,602.70/228,857.24 = 105,520.32/x
  3. Step 3: Cross multiply
    152,602.70x = 228,857.24 × 105,520.32
  4. Step 4: Simplify right side
    152,602.70x = 24,149,089,199.12
  5. Step 5: Solve for x
    x = 24,149,089,199.12/152,602.70
  6. Step 6: Final answer
    x = 158,248.11

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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.