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Finding the Fourth Proportional to 183,034.19, 253,069.14 and 160,308.02

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Solution

The fourth proportional to 183,034.19, 253,069.14 and 160,308.02 is: 221,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,034.19 : 253,069.14 = 160,308.02 : x
  2. Step 2: Convert to fraction form
    183,034.19/253,069.14 = 160,308.02/x
  3. Step 3: Cross multiply
    183,034.19x = 253,069.14 × 160,308.02
  4. Step 4: Simplify right side
    183,034.19x = 40,569,011,491.16
  5. Step 5: Solve for x
    x = 40,569,011,491.16/183,034.19
  6. Step 6: Final answer
    x = 221,647.18

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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.