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Finding the Fourth Proportional to 259,723.60, 358,421.16 and 152,357.20

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Solution

The fourth proportional to 259,723.60, 358,421.16 and 152,357.20 is: 210,254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,723.60 : 358,421.16 = 152,357.20 : x
  2. Step 2: Convert to fraction form
    259,723.60/358,421.16 = 152,357.20/x
  3. Step 3: Cross multiply
    259,723.60x = 358,421.16 × 152,357.20
  4. Step 4: Simplify right side
    259,723.60x = 54,608,044,358.35
  5. Step 5: Solve for x
    x = 54,608,044,358.35/259,723.60
  6. Step 6: Final answer
    x = 210,254.46

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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.