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Finding the Fourth Proportional to 260,430.94, 390,685.41 and 94,257.82

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Solution

The fourth proportional to 260,430.94, 390,685.41 and 94,257.82 is: 141,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,430.94 : 390,685.41 = 94,257.82 : x
  2. Step 2: Convert to fraction form
    260,430.94/390,685.41 = 94,257.82/x
  3. Step 3: Cross multiply
    260,430.94x = 390,685.41 × 94,257.82
  4. Step 4: Simplify right side
    260,430.94x = 36,825,154,075.69
  5. Step 5: Solve for x
    x = 36,825,154,075.69/260,430.94
  6. Step 6: Final answer
    x = 141,400.84

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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.