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Finding the Fourth Proportional to 146,047, 219,070.52 and 35,239

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Solution

The fourth proportional to 146,047, 219,070.52 and 35,239 is: 52,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,047 : 219,070.52 = 35,239 : x
  2. Step 2: Convert to fraction form
    146,047/219,070.52 = 35,239/x
  3. Step 3: Cross multiply
    146,047x = 219,070.52 × 35,239
  4. Step 4: Simplify right side
    146,047x = 7,719,826,054.28
  5. Step 5: Solve for x
    x = 7,719,826,054.28/146,047
  6. Step 6: Final answer
    x = 52,858.50

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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.