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Finding the Fourth Proportional to 358,209.46, 537,128.70 and 105,457.06

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Solution

The fourth proportional to 358,209.46, 537,128.70 and 105,457.06 is: 158,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,209.46 : 537,128.70 = 105,457.06 : x
  2. Step 2: Convert to fraction form
    358,209.46/537,128.70 = 105,457.06/x
  3. Step 3: Cross multiply
    358,209.46x = 537,128.70 × 105,457.06
  4. Step 4: Simplify right side
    358,209.46x = 56,644,013,543.62
  5. Step 5: Solve for x
    x = 56,644,013,543.62/358,209.46
  6. Step 6: Final answer
    x = 158,130.98

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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.