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Finding the Fourth Proportional to 194,969.40, 292,454.10 and 124,985.40

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Solution

The fourth proportional to 194,969.40, 292,454.10 and 124,985.40 is: 187,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,969.40 : 292,454.10 = 124,985.40 : x
  2. Step 2: Convert to fraction form
    194,969.40/292,454.10 = 124,985.40/x
  3. Step 3: Cross multiply
    194,969.40x = 292,454.10 × 124,985.40
  4. Step 4: Simplify right side
    194,969.40x = 36,552,492,670.14
  5. Step 5: Solve for x
    x = 36,552,492,670.14/194,969.40
  6. Step 6: Final answer
    x = 187,478.10

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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.