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Finding the Fourth Proportional to 265,646.34, 366,581.16 and 144,785.16

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Solution

The fourth proportional to 265,646.34, 366,581.16 and 144,785.16 is: 199,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,646.34 : 366,581.16 = 144,785.16 : x
  2. Step 2: Convert to fraction form
    265,646.34/366,581.16 = 144,785.16/x
  3. Step 3: Cross multiply
    265,646.34x = 366,581.16 × 144,785.16
  4. Step 4: Simplify right side
    265,646.34x = 53,075,511,903.59
  5. Step 5: Solve for x
    x = 53,075,511,903.59/265,646.34
  6. Step 6: Final answer
    x = 199,797.64

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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.