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Finding the Fourth Proportional to 183,282.16, 252,320.52 and 164,386.48

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Solution

The fourth proportional to 183,282.16, 252,320.52 and 164,386.48 is: 226,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,282.16 : 252,320.52 = 164,386.48 : x
  2. Step 2: Convert to fraction form
    183,282.16/252,320.52 = 164,386.48/x
  3. Step 3: Cross multiply
    183,282.16x = 252,320.52 × 164,386.48
  4. Step 4: Simplify right side
    183,282.16x = 41,478,082,114.57
  5. Step 5: Solve for x
    x = 41,478,082,114.57/183,282.16
  6. Step 6: Final answer
    x = 226,307.25

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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.