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Finding the Fourth Proportional to 306,075.40, 459,177.90 and 92,825.80

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Solution

The fourth proportional to 306,075.40, 459,177.90 and 92,825.80 is: 139,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.40 : 459,177.90 = 92,825.80 : x
  2. Step 2: Convert to fraction form
    306,075.40/459,177.90 = 92,825.80/x
  3. Step 3: Cross multiply
    306,075.40x = 459,177.90 × 92,825.80
  4. Step 4: Simplify right side
    306,075.40x = 42,623,555,909.82
  5. Step 5: Solve for x
    x = 42,623,555,909.82/306,075.40
  6. Step 6: Final answer
    x = 139,258.35

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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.