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Finding the Fourth Proportional to 292,068.64, 403,054.74 and 157,932.64

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Solution

The fourth proportional to 292,068.64, 403,054.74 and 157,932.64 is: 217,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,068.64 : 403,054.74 = 157,932.64 : x
  2. Step 2: Convert to fraction form
    292,068.64/403,054.74 = 157,932.64/x
  3. Step 3: Cross multiply
    292,068.64x = 403,054.74 × 157,932.64
  4. Step 4: Simplify right side
    292,068.64x = 63,655,499,152.71
  5. Step 5: Solve for x
    x = 63,655,499,152.71/292,068.64
  6. Step 6: Final answer
    x = 217,947.05

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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.