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Finding the Fourth Proportional to 144,225.36, 216,044.28 and 117,666

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Solution

The fourth proportional to 144,225.36, 216,044.28 and 117,666 is: 176,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,225.36 : 216,044.28 = 117,666 : x
  2. Step 2: Convert to fraction form
    144,225.36/216,044.28 = 117,666/x
  3. Step 3: Cross multiply
    144,225.36x = 216,044.28 × 117,666
  4. Step 4: Simplify right side
    144,225.36x = 25,421,066,250.48
  5. Step 5: Solve for x
    x = 25,421,066,250.48/144,225.36
  6. Step 6: Final answer
    x = 176,259.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.