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Finding the Fourth Proportional to 202,577.60, 304,060.80 and 102,850.40

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Solution

The fourth proportional to 202,577.60, 304,060.80 and 102,850.40 is: 154,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,577.60 : 304,060.80 = 102,850.40 : x
  2. Step 2: Convert to fraction form
    202,577.60/304,060.80 = 102,850.40/x
  3. Step 3: Cross multiply
    202,577.60x = 304,060.80 × 102,850.40
  4. Step 4: Simplify right side
    202,577.60x = 31,272,774,904.32
  5. Step 5: Solve for x
    x = 31,272,774,904.32/202,577.60
  6. Step 6: Final answer
    x = 154,374.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.