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Finding the Fourth Proportional to 210,152.46, 290,009.42 and 114,658.86

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Solution

The fourth proportional to 210,152.46, 290,009.42 and 114,658.86 is: 158,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,152.46 : 290,009.42 = 114,658.86 : x
  2. Step 2: Convert to fraction form
    210,152.46/290,009.42 = 114,658.86/x
  3. Step 3: Cross multiply
    210,152.46x = 290,009.42 × 114,658.86
  4. Step 4: Simplify right side
    210,152.46x = 33,252,149,486.46
  5. Step 5: Solve for x
    x = 33,252,149,486.46/210,152.46
  6. Step 6: Final answer
    x = 158,228.69

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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.