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Finding the Fourth Proportional to 153,433, 230,152.38 and 42,627.88

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Solution

The fourth proportional to 153,433, 230,152.38 and 42,627.88 is: 63,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,433 : 230,152.38 = 42,627.88 : x
  2. Step 2: Convert to fraction form
    153,433/230,152.38 = 42,627.88/x
  3. Step 3: Cross multiply
    153,433x = 230,152.38 × 42,627.88
  4. Step 4: Simplify right side
    153,433x = 9,810,908,036.35
  5. Step 5: Solve for x
    x = 9,810,908,036.35/153,433
  6. Step 6: Final answer
    x = 63,942.62

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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.