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Finding the Fourth Proportional to 174,768, 262,152.96 and 43,440

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Solution

The fourth proportional to 174,768, 262,152.96 and 43,440 is: 65,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,768 : 262,152.96 = 43,440 : x
  2. Step 2: Convert to fraction form
    174,768/262,152.96 = 43,440/x
  3. Step 3: Cross multiply
    174,768x = 262,152.96 × 43,440
  4. Step 4: Simplify right side
    174,768x = 11,387,924,582.40
  5. Step 5: Solve for x
    x = 11,387,924,582.40/174,768
  6. Step 6: Final answer
    x = 65,160.24

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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.