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Finding the Fourth Proportional to 145,497.31, 200,720.28 and 105,147.16

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Solution

The fourth proportional to 145,497.31, 200,720.28 and 105,147.16 is: 145,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,497.31 : 200,720.28 = 105,147.16 : x
  2. Step 2: Convert to fraction form
    145,497.31/200,720.28 = 105,147.16/x
  3. Step 3: Cross multiply
    145,497.31x = 200,720.28 × 105,147.16
  4. Step 4: Simplify right side
    145,497.31x = 21,105,167,826.50
  5. Step 5: Solve for x
    x = 21,105,167,826.50/145,497.31
  6. Step 6: Final answer
    x = 145,055.38

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Why These Related Problems?

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