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Finding the Fourth Proportional to 140,523, 210,768.98 and 35,342.01

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Solution

The fourth proportional to 140,523, 210,768.98 and 35,342.01 is: 53,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,523 : 210,768.98 = 35,342.01 : x
  2. Step 2: Convert to fraction form
    140,523/210,768.98 = 35,342.01/x
  3. Step 3: Cross multiply
    140,523x = 210,768.98 × 35,342.01
  4. Step 4: Simplify right side
    140,523x = 7,448,999,222.14
  5. Step 5: Solve for x
    x = 7,448,999,222.14/140,523
  6. Step 6: Final answer
    x = 53,009.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.