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Finding the Fourth Proportional to 117,533.70, 176,376.15 and 64,980.90

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Solution

The fourth proportional to 117,533.70, 176,376.15 and 64,980.90 is: 97,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,533.70 : 176,376.15 = 64,980.90 : x
  2. Step 2: Convert to fraction form
    117,533.70/176,376.15 = 64,980.90/x
  3. Step 3: Cross multiply
    117,533.70x = 176,376.15 × 64,980.90
  4. Step 4: Simplify right side
    117,533.70x = 11,461,080,965.54
  5. Step 5: Solve for x
    x = 11,461,080,965.54/117,533.70
  6. Step 6: Final answer
    x = 97,513.15

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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.