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Finding the Fourth Proportional to 262,091.84, 361,699.36 and 147,406.40

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Solution

The fourth proportional to 262,091.84, 361,699.36 and 147,406.40 is: 203,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,091.84 : 361,699.36 = 147,406.40 : x
  2. Step 2: Convert to fraction form
    262,091.84/361,699.36 = 147,406.40/x
  3. Step 3: Cross multiply
    262,091.84x = 361,699.36 × 147,406.40
  4. Step 4: Simplify right side
    262,091.84x = 53,316,800,539.90
  5. Step 5: Solve for x
    x = 53,316,800,539.90/262,091.84
  6. Step 6: Final answer
    x = 203,427.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.