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Finding the Fourth Proportional to 114,348, 157,800.24 and 64,048.08

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Solution

The fourth proportional to 114,348, 157,800.24 and 64,048.08 is: 88,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,348 : 157,800.24 = 64,048.08 : x
  2. Step 2: Convert to fraction form
    114,348/157,800.24 = 64,048.08/x
  3. Step 3: Cross multiply
    114,348x = 157,800.24 × 64,048.08
  4. Step 4: Simplify right side
    114,348x = 10,106,802,395.54
  5. Step 5: Solve for x
    x = 10,106,802,395.54/114,348
  6. Step 6: Final answer
    x = 88,386.35

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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.