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Finding the Fourth Proportional to 288,166.94, 432,268.79 and 119,700.98

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Solution

The fourth proportional to 288,166.94, 432,268.79 and 119,700.98 is: 179,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,166.94 : 432,268.79 = 119,700.98 : x
  2. Step 2: Convert to fraction form
    288,166.94/432,268.79 = 119,700.98/x
  3. Step 3: Cross multiply
    288,166.94x = 432,268.79 × 119,700.98
  4. Step 4: Simplify right side
    288,166.94x = 51,742,995,026.57
  5. Step 5: Solve for x
    x = 51,742,995,026.57/288,166.94
  6. Step 6: Final answer
    x = 179,559.10

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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.