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Finding the Fourth Proportional to 282,897.36, 390,386.48 and 160,397.99

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Solution

The fourth proportional to 282,897.36, 390,386.48 and 160,397.99 is: 221,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,897.36 : 390,386.48 = 160,397.99 : x
  2. Step 2: Convert to fraction form
    282,897.36/390,386.48 = 160,397.99/x
  3. Step 3: Cross multiply
    282,897.36x = 390,386.48 × 160,397.99
  4. Step 4: Simplify right side
    282,897.36x = 62,617,203,961.25
  5. Step 5: Solve for x
    x = 62,617,203,961.25/282,897.36
  6. Step 6: Final answer
    x = 221,342.48

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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.