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Finding the Fourth Proportional to 181,783, 272,594.58 and 97,518.16

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Solution

The fourth proportional to 181,783, 272,594.58 and 97,518.16 is: 146,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,783 : 272,594.58 = 97,518.16 : x
  2. Step 2: Convert to fraction form
    181,783/272,594.58 = 97,518.16/x
  3. Step 3: Cross multiply
    181,783x = 272,594.58 × 97,518.16
  4. Step 4: Simplify right side
    181,783x = 26,582,921,867.57
  5. Step 5: Solve for x
    x = 26,582,921,867.57/181,783
  6. Step 6: Final answer
    x = 146,234.37

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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.