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Finding the Fourth Proportional to 156,054.40, 233,498.40 and 103,566.40

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Solution

The fourth proportional to 156,054.40, 233,498.40 and 103,566.40 is: 154,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,054.40 : 233,498.40 = 103,566.40 : x
  2. Step 2: Convert to fraction form
    156,054.40/233,498.40 = 103,566.40/x
  3. Step 3: Cross multiply
    156,054.40x = 233,498.40 × 103,566.40
  4. Step 4: Simplify right side
    156,054.40x = 24,182,588,693.76
  5. Step 5: Solve for x
    x = 24,182,588,693.76/156,054.40
  6. Step 6: Final answer
    x = 154,962.56

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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.