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Finding the Fourth Proportional to 265,223.46, 366,009.12 and 144,366.06

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Solution

The fourth proportional to 265,223.46, 366,009.12 and 144,366.06 is: 199,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,223.46 : 366,009.12 = 144,366.06 : x
  2. Step 2: Convert to fraction form
    265,223.46/366,009.12 = 144,366.06/x
  3. Step 3: Cross multiply
    265,223.46x = 366,009.12 × 144,366.06
  4. Step 4: Simplify right side
    265,223.46x = 52,839,294,578.47
  5. Step 5: Solve for x
    x = 52,839,294,578.47/265,223.46
  6. Step 6: Final answer
    x = 199,225.57

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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.