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Finding the Fourth Proportional to 150,303.18, 207,422.10 and 82,323

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Solution

The fourth proportional to 150,303.18, 207,422.10 and 82,323 is: 113,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,303.18 : 207,422.10 = 82,323 : x
  2. Step 2: Convert to fraction form
    150,303.18/207,422.10 = 82,323/x
  3. Step 3: Cross multiply
    150,303.18x = 207,422.10 × 82,323
  4. Step 4: Simplify right side
    150,303.18x = 17,075,609,538.30
  5. Step 5: Solve for x
    x = 17,075,609,538.30/150,303.18
  6. Step 6: Final answer
    x = 113,607.77

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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.