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Finding the Fourth Proportional to 210,342.84, 290,284.88 and 114,858.40

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Solution

The fourth proportional to 210,342.84, 290,284.88 and 114,858.40 is: 158,511.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,342.84 : 290,284.88 = 114,858.40 : x
  2. Step 2: Convert to fraction form
    210,342.84/290,284.88 = 114,858.40/x
  3. Step 3: Cross multiply
    210,342.84x = 290,284.88 × 114,858.40
  4. Step 4: Simplify right side
    210,342.84x = 33,341,656,860.99
  5. Step 5: Solve for x
    x = 33,341,656,860.99/210,342.84
  6. Step 6: Final answer
    x = 158,511.01

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1.5x scale

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.