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Finding the Fourth Proportional to 174,009.60, 261,571.20 and 161,683.20

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Solution

The fourth proportional to 174,009.60, 261,571.20 and 161,683.20 is: 243,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,009.60 : 261,571.20 = 161,683.20 : x
  2. Step 2: Convert to fraction form
    174,009.60/261,571.20 = 161,683.20/x
  3. Step 3: Cross multiply
    174,009.60x = 261,571.20 × 161,683.20
  4. Step 4: Simplify right side
    174,009.60x = 42,291,668,643.84
  5. Step 5: Solve for x
    x = 42,291,668,643.84/174,009.60
  6. Step 6: Final answer
    x = 243,042.16

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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.