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Finding the Fourth Proportional to 255,594, 352,779.76 and 158,870.82

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Solution

The fourth proportional to 255,594, 352,779.76 and 158,870.82 is: 219,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,594 : 352,779.76 = 158,870.82 : x
  2. Step 2: Convert to fraction form
    255,594/352,779.76 = 158,870.82/x
  3. Step 3: Cross multiply
    255,594x = 352,779.76 × 158,870.82
  4. Step 4: Simplify right side
    255,594x = 56,046,409,750.60
  5. Step 5: Solve for x
    x = 56,046,409,750.60/255,594
  6. Step 6: Final answer
    x = 219,279.05

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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.