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Finding the Fourth Proportional to 152,200.09, 210,095 and 136,256.86

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Solution

The fourth proportional to 152,200.09, 210,095 and 136,256.86 is: 188,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,200.09 : 210,095 = 136,256.86 : x
  2. Step 2: Convert to fraction form
    152,200.09/210,095 = 136,256.86/x
  3. Step 3: Cross multiply
    152,200.09x = 210,095 × 136,256.86
  4. Step 4: Simplify right side
    152,200.09x = 28,626,885,001.70
  5. Step 5: Solve for x
    x = 28,626,885,001.70/152,200.09
  6. Step 6: Final answer
    x = 188,087.18

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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.