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Finding the Fourth Proportional to 152,570.25, 228,855.38 and 59,076

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Solution

The fourth proportional to 152,570.25, 228,855.38 and 59,076 is: 88,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,570.25 : 228,855.38 = 59,076 : x
  2. Step 2: Convert to fraction form
    152,570.25/228,855.38 = 59,076/x
  3. Step 3: Cross multiply
    152,570.25x = 228,855.38 × 59,076
  4. Step 4: Simplify right side
    152,570.25x = 13,519,860,133.50
  5. Step 5: Solve for x
    x = 13,519,860,133.50/152,570.25
  6. Step 6: Final answer
    x = 88,614

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Why These Related Problems?

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