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Finding the Fourth Proportional to 213,526, 294,663.72 and 118,028.08

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Solution

The fourth proportional to 213,526, 294,663.72 and 118,028.08 is: 162,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,526 : 294,663.72 = 118,028.08 : x
  2. Step 2: Convert to fraction form
    213,526/294,663.72 = 118,028.08/x
  3. Step 3: Cross multiply
    213,526x = 294,663.72 × 118,028.08
  4. Step 4: Simplify right side
    213,526x = 34,778,593,117.26
  5. Step 5: Solve for x
    x = 34,778,593,117.26/213,526
  6. Step 6: Final answer
    x = 162,877.56

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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.