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Finding the Fourth Proportional to 153,838.32, 212,392.98 and 117,959.40

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Solution

The fourth proportional to 153,838.32, 212,392.98 and 117,959.40 is: 162,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,838.32 : 212,392.98 = 117,959.40 : x
  2. Step 2: Convert to fraction form
    153,838.32/212,392.98 = 117,959.40/x
  3. Step 3: Cross multiply
    153,838.32x = 212,392.98 × 117,959.40
  4. Step 4: Simplify right side
    153,838.32x = 25,053,748,485.01
  5. Step 5: Solve for x
    x = 25,053,748,485.01/153,838.32
  6. Step 6: Final answer
    x = 162,857.66

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