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Finding the Fourth Proportional to 114,346.28, 157,798.32 and 64,045.28

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Solution

The fourth proportional to 114,346.28, 157,798.32 and 64,045.28 is: 88,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,346.28 : 157,798.32 = 64,045.28 : x
  2. Step 2: Convert to fraction form
    114,346.28/157,798.32 = 64,045.28/x
  3. Step 3: Cross multiply
    114,346.28x = 157,798.32 × 64,045.28
  4. Step 4: Simplify right side
    114,346.28x = 10,106,237,587.93
  5. Step 5: Solve for x
    x = 10,106,237,587.93/114,346.28
  6. Step 6: Final answer
    x = 88,382.74

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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.