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Finding the Fourth Proportional to 152,988, 211,123.52 and 85,920

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Solution

The fourth proportional to 152,988, 211,123.52 and 85,920 is: 118,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988 : 211,123.52 = 85,920 : x
  2. Step 2: Convert to fraction form
    152,988/211,123.52 = 85,920/x
  3. Step 3: Cross multiply
    152,988x = 211,123.52 × 85,920
  4. Step 4: Simplify right side
    152,988x = 18,139,732,838.40
  5. Step 5: Solve for x
    x = 18,139,732,838.40/152,988
  6. Step 6: Final answer
    x = 118,569.64

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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.