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Finding the Fourth Proportional to 286,564.14, 429,547.23 and 160,018.86

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Solution

The fourth proportional to 286,564.14, 429,547.23 and 160,018.86 is: 239,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,564.14 : 429,547.23 = 160,018.86 : x
  2. Step 2: Convert to fraction form
    286,564.14/429,547.23 = 160,018.86/x
  3. Step 3: Cross multiply
    286,564.14x = 429,547.23 × 160,018.86
  4. Step 4: Simplify right side
    286,564.14x = 68,735,658,060.76
  5. Step 5: Solve for x
    x = 68,735,658,060.76/286,564.14
  6. Step 6: Final answer
    x = 239,861.34

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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.