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Finding the Fourth Proportional to 144,484.21, 199,403.21 and 83,232.51

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Solution

The fourth proportional to 144,484.21, 199,403.21 and 83,232.51 is: 114,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,484.21 : 199,403.21 = 83,232.51 : x
  2. Step 2: Convert to fraction form
    144,484.21/199,403.21 = 83,232.51/x
  3. Step 3: Cross multiply
    144,484.21x = 199,403.21 × 83,232.51
  4. Step 4: Simplify right side
    144,484.21x = 16,596,829,254.19
  5. Step 5: Solve for x
    x = 16,596,829,254.19/144,484.21
  6. Step 6: Final answer
    x = 114,869.51

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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.