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Finding the Fourth Proportional to 205,312.98, 283,303.92 and 114,657.39

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Solution

The fourth proportional to 205,312.98, 283,303.92 and 114,657.39 is: 158,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,312.98 : 283,303.92 = 114,657.39 : x
  2. Step 2: Convert to fraction form
    205,312.98/283,303.92 = 114,657.39/x
  3. Step 3: Cross multiply
    205,312.98x = 283,303.92 × 114,657.39
  4. Step 4: Simplify right side
    205,312.98x = 32,482,886,054.16
  5. Step 5: Solve for x
    x = 32,482,886,054.16/205,312.98
  6. Step 6: Final answer
    x = 158,211.56

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1.5x scale

Why These Related Problems?

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