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Finding the Fourth Proportional to 152,970.47, 211,129.47 and 97,744.49

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Solution

The fourth proportional to 152,970.47, 211,129.47 and 97,744.49 is: 134,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,970.47 : 211,129.47 = 97,744.49 : x
  2. Step 2: Convert to fraction form
    152,970.47/211,129.47 = 97,744.49/x
  3. Step 3: Cross multiply
    152,970.47x = 211,129.47 × 97,744.49
  4. Step 4: Simplify right side
    152,970.47x = 20,636,742,369.12
  5. Step 5: Solve for x
    x = 20,636,742,369.12/152,970.47
  6. Step 6: Final answer
    x = 134,906.71

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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.