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Finding the Fourth Proportional to 213,307.48, 294,358.08 and 117,812.08

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Solution

The fourth proportional to 213,307.48, 294,358.08 and 117,812.08 is: 162,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,307.48 : 294,358.08 = 117,812.08 : x
  2. Step 2: Convert to fraction form
    213,307.48/294,358.08 = 117,812.08/x
  3. Step 3: Cross multiply
    213,307.48x = 294,358.08 × 117,812.08
  4. Step 4: Simplify right side
    213,307.48x = 34,678,937,669.61
  5. Step 5: Solve for x
    x = 34,678,937,669.61/213,307.48
  6. Step 6: Final answer
    x = 162,577.22

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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.