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Finding the Fourth Proportional to 144,858, 217,322.50 and 117,030.18

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Solution

The fourth proportional to 144,858, 217,322.50 and 117,030.18 is: 175,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,858 : 217,322.50 = 117,030.18 : x
  2. Step 2: Convert to fraction form
    144,858/217,322.50 = 117,030.18/x
  3. Step 3: Cross multiply
    144,858x = 217,322.50 × 117,030.18
  4. Step 4: Simplify right side
    144,858x = 25,433,291,293.05
  5. Step 5: Solve for x
    x = 25,433,291,293.05/144,858
  6. Step 6: Final answer
    x = 175,573.95

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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.