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Finding the Fourth Proportional to 265,641, 366,584.86 and 144,782.40

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Solution

The fourth proportional to 265,641, 366,584.86 and 144,782.40 is: 199,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,641 : 366,584.86 = 144,782.40 : x
  2. Step 2: Convert to fraction form
    265,641/366,584.86 = 144,782.40/x
  3. Step 3: Cross multiply
    265,641x = 366,584.86 × 144,782.40
  4. Step 4: Simplify right side
    265,641x = 53,075,035,834.46
  5. Step 5: Solve for x
    x = 53,075,035,834.46/265,641
  6. Step 6: Final answer
    x = 199,799.86

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1.5x scale

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.