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Finding the Fourth Proportional to 114,454, 157,951.38 and 64,153

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Solution

The fourth proportional to 114,454, 157,951.38 and 64,153 is: 88,533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,454 : 157,951.38 = 64,153 : x
  2. Step 2: Convert to fraction form
    114,454/157,951.38 = 64,153/x
  3. Step 3: Cross multiply
    114,454x = 157,951.38 × 64,153
  4. Step 4: Simplify right side
    114,454x = 10,133,054,881.14
  5. Step 5: Solve for x
    x = 10,133,054,881.14/114,454
  6. Step 6: Final answer
    x = 88,533.86

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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.