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Finding the Fourth Proportional to 288,901.60, 433,549.24 and 101,913.10

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Solution

The fourth proportional to 288,901.60, 433,549.24 and 101,913.10 is: 152,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,901.60 : 433,549.24 = 101,913.10 : x
  2. Step 2: Convert to fraction form
    288,901.60/433,549.24 = 101,913.10/x
  3. Step 3: Cross multiply
    288,901.60x = 433,549.24 × 101,913.10
  4. Step 4: Simplify right side
    288,901.60x = 44,184,347,051.04
  5. Step 5: Solve for x
    x = 44,184,347,051.04/288,901.60
  6. Step 6: Final answer
    x = 152,939.09

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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.