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Finding the Fourth Proportional to 212,047.60, 318,071.40 and 202,946.80

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Solution

The fourth proportional to 212,047.60, 318,071.40 and 202,946.80 is: 304,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,047.60 : 318,071.40 = 202,946.80 : x
  2. Step 2: Convert to fraction form
    212,047.60/318,071.40 = 202,946.80/x
  3. Step 3: Cross multiply
    212,047.60x = 318,071.40 × 202,946.80
  4. Step 4: Simplify right side
    212,047.60x = 64,551,572,801.52
  5. Step 5: Solve for x
    x = 64,551,572,801.52/212,047.60
  6. Step 6: Final answer
    x = 304,420.20

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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.