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Finding the Fourth Proportional to 98,175, 147,262.50 and 24,303

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Solution

The fourth proportional to 98,175, 147,262.50 and 24,303 is: 36,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,175 : 147,262.50 = 24,303 : x
  2. Step 2: Convert to fraction form
    98,175/147,262.50 = 24,303/x
  3. Step 3: Cross multiply
    98,175x = 147,262.50 × 24,303
  4. Step 4: Simplify right side
    98,175x = 3,578,920,537.50
  5. Step 5: Solve for x
    x = 3,578,920,537.50/98,175
  6. Step 6: Final answer
    x = 36,454.50

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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.