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Finding the Fourth Proportional to 224,216.71, 336,214.40 and 97,802.24

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Solution

The fourth proportional to 224,216.71, 336,214.40 and 97,802.24 is: 146,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,216.71 : 336,214.40 = 97,802.24 : x
  2. Step 2: Convert to fraction form
    224,216.71/336,214.40 = 97,802.24/x
  3. Step 3: Cross multiply
    224,216.71x = 336,214.40 × 97,802.24
  4. Step 4: Simplify right side
    224,216.71x = 32,882,519,270.17
  5. Step 5: Solve for x
    x = 32,882,519,270.17/224,216.71
  6. Step 6: Final answer
    x = 146,655.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.