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Finding the Fourth Proportional to 169,199.86, 233,495.79 and 101,219.69

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Solution

The fourth proportional to 169,199.86, 233,495.79 and 101,219.69 is: 139,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,199.86 : 233,495.79 = 101,219.69 : x
  2. Step 2: Convert to fraction form
    169,199.86/233,495.79 = 101,219.69/x
  3. Step 3: Cross multiply
    169,199.86x = 233,495.79 × 101,219.69
  4. Step 4: Simplify right side
    169,199.86x = 23,634,370,312.63
  5. Step 5: Solve for x
    x = 23,634,370,312.63/169,199.86
  6. Step 6: Final answer
    x = 139,683.16

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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.