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Finding the Fourth Proportional to 224,891.34, 310,149 and 186,590.13

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Solution

The fourth proportional to 224,891.34, 310,149 and 186,590.13 is: 257,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,891.34 : 310,149 = 186,590.13 : x
  2. Step 2: Convert to fraction form
    224,891.34/310,149 = 186,590.13/x
  3. Step 3: Cross multiply
    224,891.34x = 310,149 × 186,590.13
  4. Step 4: Simplify right side
    224,891.34x = 57,870,742,810.90
  5. Step 5: Solve for x
    x = 57,870,742,810.90/224,891.34
  6. Step 6: Final answer
    x = 257,327.58

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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.