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Finding the Fourth Proportional to 144,312.68, 199,205.00 and 86,955.19

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Solution

The fourth proportional to 144,312.68, 199,205.00 and 86,955.19 is: 120,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,312.68 : 199,205.00 = 86,955.19 : x
  2. Step 2: Convert to fraction form
    144,312.68/199,205.00 = 86,955.19/x
  3. Step 3: Cross multiply
    144,312.68x = 199,205.00 × 86,955.19
  4. Step 4: Simplify right side
    144,312.68x = 17,321,908,017.24
  5. Step 5: Solve for x
    x = 17,321,908,017.24/144,312.68
  6. Step 6: Final answer
    x = 120,030.39

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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.