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Finding the Fourth Proportional to 157,210.96, 235,728.24 and 138,533.44

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Solution

The fourth proportional to 157,210.96, 235,728.24 and 138,533.44 is: 207,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,210.96 : 235,728.24 = 138,533.44 : x
  2. Step 2: Convert to fraction form
    157,210.96/235,728.24 = 138,533.44/x
  3. Step 3: Cross multiply
    157,210.96x = 235,728.24 × 138,533.44
  4. Step 4: Simplify right side
    157,210.96x = 32,656,243,992.35
  5. Step 5: Solve for x
    x = 32,656,243,992.35/157,210.96
  6. Step 6: Final answer
    x = 207,722.44

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