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Finding the Fourth Proportional to 227,807.16, 314,320.68 and 132,256.32

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Solution

The fourth proportional to 227,807.16, 314,320.68 and 132,256.32 is: 182,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,807.16 : 314,320.68 = 132,256.32 : x
  2. Step 2: Convert to fraction form
    227,807.16/314,320.68 = 132,256.32/x
  3. Step 3: Cross multiply
    227,807.16x = 314,320.68 × 132,256.32
  4. Step 4: Simplify right side
    227,807.16x = 41,570,896,436.70
  5. Step 5: Solve for x
    x = 41,570,896,436.70/227,807.16
  6. Step 6: Final answer
    x = 182,482.84

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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.