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Finding the Fourth Proportional to 212,643.60, 293,175.28 and 174,264.16

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Solution

The fourth proportional to 212,643.60, 293,175.28 and 174,264.16 is: 240,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,643.60 : 293,175.28 = 174,264.16 : x
  2. Step 2: Convert to fraction form
    212,643.60/293,175.28 = 174,264.16/x
  3. Step 3: Cross multiply
    212,643.60x = 293,175.28 × 174,264.16
  4. Step 4: Simplify right side
    212,643.60x = 51,089,943,901.96
  5. Step 5: Solve for x
    x = 51,089,943,901.96/212,643.60
  6. Step 6: Final answer
    x = 240,260.91

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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.