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Finding the Fourth Proportional to 152,549.58, 228,642.90 and 114,985.86

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Solution

The fourth proportional to 152,549.58, 228,642.90 and 114,985.86 is: 172,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,549.58 : 228,642.90 = 114,985.86 : x
  2. Step 2: Convert to fraction form
    152,549.58/228,642.90 = 114,985.86/x
  3. Step 3: Cross multiply
    152,549.58x = 228,642.90 × 114,985.86
  4. Step 4: Simplify right side
    152,549.58x = 26,290,700,489.39
  5. Step 5: Solve for x
    x = 26,290,700,489.39/152,549.58
  6. Step 6: Final answer
    x = 172,342.01

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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.