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Finding the Fourth Proportional to 256,077.40, 384,116.10 and 130,106.20

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Solution

The fourth proportional to 256,077.40, 384,116.10 and 130,106.20 is: 195,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,077.40 : 384,116.10 = 130,106.20 : x
  2. Step 2: Convert to fraction form
    256,077.40/384,116.10 = 130,106.20/x
  3. Step 3: Cross multiply
    256,077.40x = 384,116.10 × 130,106.20
  4. Step 4: Simplify right side
    256,077.40x = 49,975,886,129.82
  5. Step 5: Solve for x
    x = 49,975,886,129.82/256,077.40
  6. Step 6: Final answer
    x = 195,159.30

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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.