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Finding the Fourth Proportional to 102,024.20, 153,036.30 and 42,840.20

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Solution

The fourth proportional to 102,024.20, 153,036.30 and 42,840.20 is: 64,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024.20 : 153,036.30 = 42,840.20 : x
  2. Step 2: Convert to fraction form
    102,024.20/153,036.30 = 42,840.20/x
  3. Step 3: Cross multiply
    102,024.20x = 153,036.30 × 42,840.20
  4. Step 4: Simplify right side
    102,024.20x = 6,556,105,699.26
  5. Step 5: Solve for x
    x = 6,556,105,699.26/102,024.20
  6. Step 6: Final answer
    x = 64,260.30

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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.