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Finding the Fourth Proportional to 152,953.65, 211,106.05 and 97,727.47

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Solution

The fourth proportional to 152,953.65, 211,106.05 and 97,727.47 is: 134,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,953.65 : 211,106.05 = 97,727.47 : x
  2. Step 2: Convert to fraction form
    152,953.65/211,106.05 = 97,727.47/x
  3. Step 3: Cross multiply
    152,953.65x = 211,106.05 × 97,727.47
  4. Step 4: Simplify right side
    152,953.65x = 20,630,859,396.11
  5. Step 5: Solve for x
    x = 20,630,859,396.11/152,953.65
  6. Step 6: Final answer
    x = 134,883.08

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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.