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Finding the Fourth Proportional to 264,094.65, 364,205.03 and 176,724.81

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Solution

The fourth proportional to 264,094.65, 364,205.03 and 176,724.81 is: 243,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,094.65 : 364,205.03 = 176,724.81 : x
  2. Step 2: Convert to fraction form
    264,094.65/364,205.03 = 176,724.81/x
  3. Step 3: Cross multiply
    264,094.65x = 364,205.03 × 176,724.81
  4. Step 4: Simplify right side
    264,094.65x = 64,364,063,844.17
  5. Step 5: Solve for x
    x = 64,364,063,844.17/264,094.65
  6. Step 6: Final answer
    x = 243,715.89

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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.