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Finding the Fourth Proportional to 153,860.32, 212,319.04 and 86,788

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Solution

The fourth proportional to 153,860.32, 212,319.04 and 86,788 is: 119,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,860.32 : 212,319.04 = 86,788 : x
  2. Step 2: Convert to fraction form
    153,860.32/212,319.04 = 86,788/x
  3. Step 3: Cross multiply
    153,860.32x = 212,319.04 × 86,788
  4. Step 4: Simplify right side
    153,860.32x = 18,426,744,843.52
  5. Step 5: Solve for x
    x = 18,426,744,843.52/153,860.32
  6. Step 6: Final answer
    x = 119,762.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.