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Finding the Fourth Proportional to 188,746.94, 260,459.96 and 103,864.01

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Solution

The fourth proportional to 188,746.94, 260,459.96 and 103,864.01 is: 143,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,746.94 : 260,459.96 = 103,864.01 : x
  2. Step 2: Convert to fraction form
    188,746.94/260,459.96 = 103,864.01/x
  3. Step 3: Cross multiply
    188,746.94x = 260,459.96 × 103,864.01
  4. Step 4: Simplify right side
    188,746.94x = 27,052,414,068.42
  5. Step 5: Solve for x
    x = 27,052,414,068.42/188,746.94
  6. Step 6: Final answer
    x = 143,326.37

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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.