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Finding the Fourth Proportional to 188,411.94, 260,009.01 and 103,533.30

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Solution

The fourth proportional to 188,411.94, 260,009.01 and 103,533.30 is: 142,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,411.94 : 260,009.01 = 103,533.30 : x
  2. Step 2: Convert to fraction form
    188,411.94/260,009.01 = 103,533.30/x
  3. Step 3: Cross multiply
    188,411.94x = 260,009.01 × 103,533.30
  4. Step 4: Simplify right side
    188,411.94x = 26,919,590,835.03
  5. Step 5: Solve for x
    x = 26,919,590,835.03/188,411.94
  6. Step 6: Final answer
    x = 142,876.25

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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.