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Finding the Fourth Proportional to 205,312.50, 283,303.26 and 114,656.88

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Solution

The fourth proportional to 205,312.50, 283,303.26 and 114,656.88 is: 158,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,312.50 : 283,303.26 = 114,656.88 : x
  2. Step 2: Convert to fraction form
    205,312.50/283,303.26 = 114,656.88/x
  3. Step 3: Cross multiply
    205,312.50x = 283,303.26 × 114,656.88
  4. Step 4: Simplify right side
    205,312.50x = 32,482,667,885.43
  5. Step 5: Solve for x
    x = 32,482,667,885.43/205,312.50
  6. Step 6: Final answer
    x = 158,210.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.