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Finding the Fourth Proportional to 114,349.50, 157,802.31 and 64,048.50

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Solution

The fourth proportional to 114,349.50, 157,802.31 and 64,048.50 is: 88,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,349.50 : 157,802.31 = 64,048.50 : x
  2. Step 2: Convert to fraction form
    114,349.50/157,802.31 = 64,048.50/x
  3. Step 3: Cross multiply
    114,349.50x = 157,802.31 × 64,048.50
  4. Step 4: Simplify right side
    114,349.50x = 10,107,001,252.04
  5. Step 5: Solve for x
    x = 10,107,001,252.04/114,349.50
  6. Step 6: Final answer
    x = 88,386.93

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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.