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Finding the Fourth Proportional to 175,271.64, 262,934.10 and 64,455

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Solution

The fourth proportional to 175,271.64, 262,934.10 and 64,455 is: 96,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,271.64 : 262,934.10 = 64,455 : x
  2. Step 2: Convert to fraction form
    175,271.64/262,934.10 = 64,455/x
  3. Step 3: Cross multiply
    175,271.64x = 262,934.10 × 64,455
  4. Step 4: Simplify right side
    175,271.64x = 16,947,417,415.50
  5. Step 5: Solve for x
    x = 16,947,417,415.50/175,271.64
  6. Step 6: Final answer
    x = 96,692.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.