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Finding the Fourth Proportional to 194,971.32, 292,456.98 and 70,312.32

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Solution

The fourth proportional to 194,971.32, 292,456.98 and 70,312.32 is: 105,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,971.32 : 292,456.98 = 70,312.32 : x
  2. Step 2: Convert to fraction form
    194,971.32/292,456.98 = 70,312.32/x
  3. Step 3: Cross multiply
    194,971.32x = 292,456.98 × 70,312.32
  4. Step 4: Simplify right side
    194,971.32x = 20,563,328,763.99
  5. Step 5: Solve for x
    x = 20,563,328,763.99/194,971.32
  6. Step 6: Final answer
    x = 105,468.48

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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.