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Finding the Fourth Proportional to 211,300.84, 291,074.34 and 180,987.40

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Solution

The fourth proportional to 211,300.84, 291,074.34 and 180,987.40 is: 249,316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,300.84 : 291,074.34 = 180,987.40 : x
  2. Step 2: Convert to fraction form
    211,300.84/291,074.34 = 180,987.40/x
  3. Step 3: Cross multiply
    211,300.84x = 291,074.34 × 180,987.40
  4. Step 4: Simplify right side
    211,300.84x = 52,680,788,003.32
  5. Step 5: Solve for x
    x = 52,680,788,003.32/211,300.84
  6. Step 6: Final answer
    x = 249,316.51

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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.