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Finding the Fourth Proportional to 100,730, 139,010.46 and 55,405.64

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Solution

The fourth proportional to 100,730, 139,010.46 and 55,405.64 is: 76,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,730 : 139,010.46 = 55,405.64 : x
  2. Step 2: Convert to fraction form
    100,730/139,010.46 = 55,405.64/x
  3. Step 3: Cross multiply
    100,730x = 139,010.46 × 55,405.64
  4. Step 4: Simplify right side
    100,730x = 7,701,963,502.99
  5. Step 5: Solve for x
    x = 7,701,963,502.99/100,730
  6. Step 6: Final answer
    x = 76,461.47

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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.