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Finding the Fourth Proportional to 255,497.04, 383,291.76 and 105,655.98

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Solution

The fourth proportional to 255,497.04, 383,291.76 and 105,655.98 is: 158,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,497.04 : 383,291.76 = 105,655.98 : x
  2. Step 2: Convert to fraction form
    255,497.04/383,291.76 = 105,655.98/x
  3. Step 3: Cross multiply
    255,497.04x = 383,291.76 × 105,655.98
  4. Step 4: Simplify right side
    255,497.04x = 40,497,066,528.72
  5. Step 5: Solve for x
    x = 40,497,066,528.72/255,497.04
  6. Step 6: Final answer
    x = 158,503.08

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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.