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Finding the Fourth Proportional to 153,953.80, 230,898.30 and 65,210.20

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Solution

The fourth proportional to 153,953.80, 230,898.30 and 65,210.20 is: 97,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,953.80 : 230,898.30 = 65,210.20 : x
  2. Step 2: Convert to fraction form
    153,953.80/230,898.30 = 65,210.20/x
  3. Step 3: Cross multiply
    153,953.80x = 230,898.30 × 65,210.20
  4. Step 4: Simplify right side
    153,953.80x = 15,056,924,322.66
  5. Step 5: Solve for x
    x = 15,056,924,322.66/153,953.80
  6. Step 6: Final answer
    x = 97,801.58

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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.