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Finding the Fourth Proportional to 211,152.66, 316,543.34 and 109,737.18

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Solution

The fourth proportional to 211,152.66, 316,543.34 and 109,737.18 is: 164,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,152.66 : 316,543.34 = 109,737.18 : x
  2. Step 2: Convert to fraction form
    211,152.66/316,543.34 = 109,737.18/x
  3. Step 3: Cross multiply
    211,152.66x = 316,543.34 × 109,737.18
  4. Step 4: Simplify right side
    211,152.66x = 34,736,572,930.70
  5. Step 5: Solve for x
    x = 34,736,572,930.70/211,152.66
  6. Step 6: Final answer
    x = 164,509.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.