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Finding the Fourth Proportional to 211,809.84, 292,298.56 and 121,166.80

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Solution

The fourth proportional to 211,809.84, 292,298.56 and 121,166.80 is: 167,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,809.84 : 292,298.56 = 121,166.80 : x
  2. Step 2: Convert to fraction form
    211,809.84/292,298.56 = 121,166.80/x
  3. Step 3: Cross multiply
    211,809.84x = 292,298.56 × 121,166.80
  4. Step 4: Simplify right side
    211,809.84x = 35,416,881,159.81
  5. Step 5: Solve for x
    x = 35,416,881,159.81/211,809.84
  6. Step 6: Final answer
    x = 167,210.75

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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.