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Finding the Fourth Proportional to 144,017.40, 216,306.42 and 117,383.10

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Solution

The fourth proportional to 144,017.40, 216,306.42 and 117,383.10 is: 176,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,017.40 : 216,306.42 = 117,383.10 : x
  2. Step 2: Convert to fraction form
    144,017.40/216,306.42 = 117,383.10/x
  3. Step 3: Cross multiply
    144,017.40x = 216,306.42 × 117,383.10
  4. Step 4: Simplify right side
    144,017.40x = 25,390,718,129.50
  5. Step 5: Solve for x
    x = 25,390,718,129.50/144,017.40
  6. Step 6: Final answer
    x = 176,303.13

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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.