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Finding the Fourth Proportional to 194,714.10, 292,071.15 and 182,904.30

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Solution

The fourth proportional to 194,714.10, 292,071.15 and 182,904.30 is: 274,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,714.10 : 292,071.15 = 182,904.30 : x
  2. Step 2: Convert to fraction form
    194,714.10/292,071.15 = 182,904.30/x
  3. Step 3: Cross multiply
    194,714.10x = 292,071.15 × 182,904.30
  4. Step 4: Simplify right side
    194,714.10x = 53,421,069,240.95
  5. Step 5: Solve for x
    x = 53,421,069,240.95/194,714.10
  6. Step 6: Final answer
    x = 274,356.45

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1.5x scale

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.