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Finding the Fourth Proportional to 153,923.16, 212,411.88 and 85,941.17

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Solution

The fourth proportional to 153,923.16, 212,411.88 and 85,941.17 is: 118,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,923.16 : 212,411.88 = 85,941.17 : x
  2. Step 2: Convert to fraction form
    153,923.16/212,411.88 = 85,941.17/x
  3. Step 3: Cross multiply
    153,923.16x = 212,411.88 × 85,941.17
  4. Step 4: Simplify right side
    153,923.16x = 18,254,925,059.39
  5. Step 5: Solve for x
    x = 18,254,925,059.39/153,923.16
  6. Step 6: Final answer
    x = 118,597.65

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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.