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Finding the Fourth Proportional to 224,289.64, 309,511.01 and 127,506.17

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Solution

The fourth proportional to 224,289.64, 309,511.01 and 127,506.17 is: 175,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,289.64 : 309,511.01 = 127,506.17 : x
  2. Step 2: Convert to fraction form
    224,289.64/309,511.01 = 127,506.17/x
  3. Step 3: Cross multiply
    224,289.64x = 309,511.01 × 127,506.17
  4. Step 4: Simplify right side
    224,289.64x = 39,464,562,820.40
  5. Step 5: Solve for x
    x = 39,464,562,820.40/224,289.64
  6. Step 6: Final answer
    x = 175,953.57

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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.