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Finding the Fourth Proportional to 145,492.74, 200,716.38 and 88,870.50

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Solution

The fourth proportional to 145,492.74, 200,716.38 and 88,870.50 is: 122,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492.74 : 200,716.38 = 88,870.50 : x
  2. Step 2: Convert to fraction form
    145,492.74/200,716.38 = 88,870.50/x
  3. Step 3: Cross multiply
    145,492.74x = 200,716.38 × 88,870.50
  4. Step 4: Simplify right side
    145,492.74x = 17,837,765,048.79
  5. Step 5: Solve for x
    x = 17,837,765,048.79/145,492.74
  6. Step 6: Final answer
    x = 122,602.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.