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Finding the Fourth Proportional to 197,810.84, 296,762.93 and 64,690.58

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Solution

The fourth proportional to 197,810.84, 296,762.93 and 64,690.58 is: 97,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,810.84 : 296,762.93 = 64,690.58 : x
  2. Step 2: Convert to fraction form
    197,810.84/296,762.93 = 64,690.58/x
  3. Step 3: Cross multiply
    197,810.84x = 296,762.93 × 64,690.58
  4. Step 4: Simplify right side
    197,810.84x = 19,197,766,064.20
  5. Step 5: Solve for x
    x = 19,197,766,064.20/197,810.84
  6. Step 6: Final answer
    x = 97,051.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.