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Finding the Fourth Proportional to 194,853, 268,897.14 and 105,429

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Solution

The fourth proportional to 194,853, 268,897.14 and 105,429 is: 145,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853 : 268,897.14 = 105,429 : x
  2. Step 2: Convert to fraction form
    194,853/268,897.14 = 105,429/x
  3. Step 3: Cross multiply
    194,853x = 268,897.14 × 105,429
  4. Step 4: Simplify right side
    194,853x = 28,349,556,573.06
  5. Step 5: Solve for x
    x = 28,349,556,573.06/194,853
  6. Step 6: Final answer
    x = 145,492.02

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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.