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Finding the Fourth Proportional to 261,192.20, 360,445.34 and 153,828.32

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Solution

The fourth proportional to 261,192.20, 360,445.34 and 153,828.32 is: 212,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,192.20 : 360,445.34 = 153,828.32 : x
  2. Step 2: Convert to fraction form
    261,192.20/360,445.34 = 153,828.32/x
  3. Step 3: Cross multiply
    261,192.20x = 360,445.34 × 153,828.32
  4. Step 4: Simplify right side
    261,192.20x = 55,446,699,686.37
  5. Step 5: Solve for x
    x = 55,446,699,686.37/261,192.20
  6. Step 6: Final answer
    x = 212,283.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.