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Finding the Fourth Proportional to 288,216.26, 432,588.05 and 146,159.58

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Solution

The fourth proportional to 288,216.26, 432,588.05 and 146,159.58 is: 219,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,216.26 : 432,588.05 = 146,159.58 : x
  2. Step 2: Convert to fraction form
    288,216.26/432,588.05 = 146,159.58/x
  3. Step 3: Cross multiply
    288,216.26x = 432,588.05 × 146,159.58
  4. Step 4: Simplify right side
    288,216.26x = 63,226,886,970.22
  5. Step 5: Solve for x
    x = 63,226,886,970.22/288,216.26
  6. Step 6: Final answer
    x = 219,373.08

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