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Finding the Fourth Proportional to 194,952, 269,034.57 and 105,528

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Solution

The fourth proportional to 194,952, 269,034.57 and 105,528 is: 145,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,952 : 269,034.57 = 105,528 : x
  2. Step 2: Convert to fraction form
    194,952/269,034.57 = 105,528/x
  3. Step 3: Cross multiply
    194,952x = 269,034.57 × 105,528
  4. Step 4: Simplify right side
    194,952x = 28,390,680,102.96
  5. Step 5: Solve for x
    x = 28,390,680,102.96/194,952
  6. Step 6: Final answer
    x = 145,629.08

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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.