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Finding the Fourth Proportional to 212,609.60, 318,914.40 and 146,254.40

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Solution

The fourth proportional to 212,609.60, 318,914.40 and 146,254.40 is: 219,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,609.60 : 318,914.40 = 146,254.40 : x
  2. Step 2: Convert to fraction form
    212,609.60/318,914.40 = 146,254.40/x
  3. Step 3: Cross multiply
    212,609.60x = 318,914.40 × 146,254.40
  4. Step 4: Simplify right side
    212,609.60x = 46,642,634,223.36
  5. Step 5: Solve for x
    x = 46,642,634,223.36/212,609.60
  6. Step 6: Final answer
    x = 219,381.60

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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.