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Finding the Fourth Proportional to 243,804.96, 365,816.16 and 155,035.20

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Solution

The fourth proportional to 243,804.96, 365,816.16 and 155,035.20 is: 232,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,804.96 : 365,816.16 = 155,035.20 : x
  2. Step 2: Convert to fraction form
    243,804.96/365,816.16 = 155,035.20/x
  3. Step 3: Cross multiply
    243,804.96x = 365,816.16 × 155,035.20
  4. Step 4: Simplify right side
    243,804.96x = 56,714,381,528.83
  5. Step 5: Solve for x
    x = 56,714,381,528.83/243,804.96
  6. Step 6: Final answer
    x = 232,621.93

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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.