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Finding the Fourth Proportional to 209,836.55, 314,803.94 and 83,483.95

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Solution

The fourth proportional to 209,836.55, 314,803.94 and 83,483.95 is: 125,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,836.55 : 314,803.94 = 83,483.95 : x
  2. Step 2: Convert to fraction form
    209,836.55/314,803.94 = 83,483.95/x
  3. Step 3: Cross multiply
    209,836.55x = 314,803.94 × 83,483.95
  4. Step 4: Simplify right side
    209,836.55x = 26,281,074,395.32
  5. Step 5: Solve for x
    x = 26,281,074,395.32/209,836.55
  6. Step 6: Final answer
    x = 125,245.46

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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.