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Finding the Fourth Proportional to 288,183, 432,276.93 and 101,194.50

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Solution

The fourth proportional to 288,183, 432,276.93 and 101,194.50 is: 151,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,183 : 432,276.93 = 101,194.50 : x
  2. Step 2: Convert to fraction form
    288,183/432,276.93 = 101,194.50/x
  3. Step 3: Cross multiply
    288,183x = 432,276.93 × 101,194.50
  4. Step 4: Simplify right side
    288,183x = 43,744,047,792.89
  5. Step 5: Solve for x
    x = 43,744,047,792.89/288,183
  6. Step 6: Final answer
    x = 151,792.60

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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.