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Finding the Fourth Proportional to 224,897.99, 310,329.23 and 144,434.41

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Solution

The fourth proportional to 224,897.99, 310,329.23 and 144,434.41 is: 199,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,897.99 : 310,329.23 = 144,434.41 : x
  2. Step 2: Convert to fraction form
    224,897.99/310,329.23 = 144,434.41/x
  3. Step 3: Cross multiply
    224,897.99x = 310,329.23 × 144,434.41
  4. Step 4: Simplify right side
    224,897.99x = 44,822,217,742.81
  5. Step 5: Solve for x
    x = 44,822,217,742.81/224,897.99
  6. Step 6: Final answer
    x = 199,300.22

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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.