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Finding the Fourth Proportional to 153,602.22, 230,442.16 and 42,794.22

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Solution

The fourth proportional to 153,602.22, 230,442.16 and 42,794.22 is: 64,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,602.22 : 230,442.16 = 42,794.22 : x
  2. Step 2: Convert to fraction form
    153,602.22/230,442.16 = 42,794.22/x
  3. Step 3: Cross multiply
    153,602.22x = 230,442.16 × 42,794.22
  4. Step 4: Simplify right side
    153,602.22x = 9,861,592,492.32
  5. Step 5: Solve for x
    x = 9,861,592,492.32/153,602.22
  6. Step 6: Final answer
    x = 64,202.15

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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.