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Finding the Fourth Proportional to 153,492, 230,250.96 and 42,684

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Solution

The fourth proportional to 153,492, 230,250.96 and 42,684 is: 64,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,492 : 230,250.96 = 42,684 : x
  2. Step 2: Convert to fraction form
    153,492/230,250.96 = 42,684/x
  3. Step 3: Cross multiply
    153,492x = 230,250.96 × 42,684
  4. Step 4: Simplify right side
    153,492x = 9,828,031,976.64
  5. Step 5: Solve for x
    x = 9,828,031,976.64/153,492
  6. Step 6: Final answer
    x = 64,029.60

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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.