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Finding the Fourth Proportional to 165,526.50, 228,426.57 and 90,075

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Solution

The fourth proportional to 165,526.50, 228,426.57 and 90,075 is: 124,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,526.50 : 228,426.57 = 90,075 : x
  2. Step 2: Convert to fraction form
    165,526.50/228,426.57 = 90,075/x
  3. Step 3: Cross multiply
    165,526.50x = 228,426.57 × 90,075
  4. Step 4: Simplify right side
    165,526.50x = 20,575,523,292.75
  5. Step 5: Solve for x
    x = 20,575,523,292.75/165,526.50
  6. Step 6: Final answer
    x = 124,303.50

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