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Finding the Fourth Proportional to 117,509.16, 176,088.72 and 64,933.68

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Solution

The fourth proportional to 117,509.16, 176,088.72 and 64,933.68 is: 97,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,509.16 : 176,088.72 = 64,933.68 : x
  2. Step 2: Convert to fraction form
    117,509.16/176,088.72 = 64,933.68/x
  3. Step 3: Cross multiply
    117,509.16x = 176,088.72 × 64,933.68
  4. Step 4: Simplify right side
    117,509.16x = 11,434,088,596.09
  5. Step 5: Solve for x
    x = 11,434,088,596.09/117,509.16
  6. Step 6: Final answer
    x = 97,303.81

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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.