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Finding the Fourth Proportional to 152,070.32, 209,838.72 and 84,078.12

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Solution

The fourth proportional to 152,070.32, 209,838.72 and 84,078.12 is: 116,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,070.32 : 209,838.72 = 84,078.12 : x
  2. Step 2: Convert to fraction form
    152,070.32/209,838.72 = 84,078.12/x
  3. Step 3: Cross multiply
    152,070.32x = 209,838.72 × 84,078.12
  4. Step 4: Simplify right side
    152,070.32x = 17,642,845,080.81
  5. Step 5: Solve for x
    x = 17,642,845,080.81/152,070.32
  6. Step 6: Final answer
    x = 116,017.68

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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.