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Finding the Fourth Proportional to 282,224.10, 423,227.69 and 102,256.64

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Solution

The fourth proportional to 282,224.10, 423,227.69 and 102,256.64 is: 153,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,224.10 : 423,227.69 = 102,256.64 : x
  2. Step 2: Convert to fraction form
    282,224.10/423,227.69 = 102,256.64/x
  3. Step 3: Cross multiply
    282,224.10x = 423,227.69 × 102,256.64
  4. Step 4: Simplify right side
    282,224.10x = 43,277,841,534.36
  5. Step 5: Solve for x
    x = 43,277,841,534.36/282,224.10
  6. Step 6: Final answer
    x = 153,345.66

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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.