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Finding the Fourth Proportional to 265,702, 366,668.76 and 152,561.20

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Solution

The fourth proportional to 265,702, 366,668.76 and 152,561.20 is: 210,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,702 : 366,668.76 = 152,561.20 : x
  2. Step 2: Convert to fraction form
    265,702/366,668.76 = 152,561.20/x
  3. Step 3: Cross multiply
    265,702x = 366,668.76 × 152,561.20
  4. Step 4: Simplify right side
    265,702x = 55,939,426,028.11
  5. Step 5: Solve for x
    x = 55,939,426,028.11/265,702
  6. Step 6: Final answer
    x = 210,534.46

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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.