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Finding the Fourth Proportional to 173,050, 238,592.64 and 144,410.92

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Solution

The fourth proportional to 173,050, 238,592.64 and 144,410.92 is: 199,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,050 : 238,592.64 = 144,410.92 : x
  2. Step 2: Convert to fraction form
    173,050/238,592.64 = 144,410.92/x
  3. Step 3: Cross multiply
    173,050x = 238,592.64 × 144,410.92
  4. Step 4: Simplify right side
    173,050x = 34,455,382,647.63
  5. Step 5: Solve for x
    x = 34,455,382,647.63/173,050
  6. Step 6: Final answer
    x = 199,106.52

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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.