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Finding the Fourth Proportional to 209,333.40, 314,000.10 and 202,116.30

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Solution

The fourth proportional to 209,333.40, 314,000.10 and 202,116.30 is: 303,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,333.40 : 314,000.10 = 202,116.30 : x
  2. Step 2: Convert to fraction form
    209,333.40/314,000.10 = 202,116.30/x
  3. Step 3: Cross multiply
    209,333.40x = 314,000.10 × 202,116.30
  4. Step 4: Simplify right side
    209,333.40x = 63,464,538,411.63
  5. Step 5: Solve for x
    x = 63,464,538,411.63/209,333.40
  6. Step 6: Final answer
    x = 303,174.45

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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.