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Finding the Fourth Proportional to 271,297, 374,389.86 and 152,065

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Solution

The fourth proportional to 271,297, 374,389.86 and 152,065 is: 209,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,297 : 374,389.86 = 152,065 : x
  2. Step 2: Convert to fraction form
    271,297/374,389.86 = 152,065/x
  3. Step 3: Cross multiply
    271,297x = 374,389.86 × 152,065
  4. Step 4: Simplify right side
    271,297x = 56,931,594,060.90
  5. Step 5: Solve for x
    x = 56,931,594,060.90/271,297
  6. Step 6: Final answer
    x = 209,849.70

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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.