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Finding the Fourth Proportional to 194,802.72, 292,028.64 and 70,056

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Solution

The fourth proportional to 194,802.72, 292,028.64 and 70,056 is: 105,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,802.72 : 292,028.64 = 70,056 : x
  2. Step 2: Convert to fraction form
    194,802.72/292,028.64 = 70,056/x
  3. Step 3: Cross multiply
    194,802.72x = 292,028.64 × 70,056
  4. Step 4: Simplify right side
    194,802.72x = 20,458,358,403.84
  5. Step 5: Solve for x
    x = 20,458,358,403.84/194,802.72
  6. Step 6: Final answer
    x = 105,020.91

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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.